Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 437. (3,2) and (4,4)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 438. (0,4) and (2,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 439. (0,2) and (5,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 440. (7,2) and (7,2)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 441. (4,2) and (4,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 442. (7,1) and (7,4)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 443. (2,1) and (2,4)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 444. (6,1) and (0,1)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 445. (6,2) and (3,2)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 446. (3,4) and (5,4)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 447. (6,3) and (1,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 448. (4,3) and (8,0)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 449. (0,0) and (1,4)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 450. (2,3) and (5,6)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 451. (3,0) and (7,2)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 452. (8,1) and (8,5)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 453. (3,5) and (7,5)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 454. line y=4x+2 , point (1,2)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 455. line y=3x+4 , point (2,5)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 456. line y=2x3 , point (1,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 457. line y=3x1 , point (2,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 458. line 3xy=4 , point (3,1)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 459. line 2xy=6 , point (3,0)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 460. line 4x+3y=6 , point (0,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 461. line 2x+3y=6 , point (0,5)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 462. line x=3 , point (2,1)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 463. line x=4 , point (3,5)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 464. line x2=0 , point (1,2)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 465. line x6=0 , point (4,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 466. line y=5 , point (2,2)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 467. line y=1 , point (3,4)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 468. line y+2=0 , point (3,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 469. line y+7=0 , point (1,1)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 470. line y=2x+3 , point (2,2)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 471. line y=x+5 , point (3,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 472. line y=34x2 , point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 473. line y=23x4 , point (2,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 474. line 2x3y=8 , point (4,1)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 475. line 4x3y=5 , point (3,2)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 476. line 2x+5y=6 , point (0,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 477. line 4x+5y=3 , point (0,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 478. line y3=0 , point (2,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 479. line y6=0 , point (5,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 480. line y-axis, point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 481. line y-axis, point (2,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 482. Containing the points (4,3) and (8,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 483. Containing the points (2,7) and (3,8)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 484. m=16 , containing point (6,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 485. m=56 , containing point (6,7)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 486. Parallel to the line 4x+3y=6 , containing point (0,3)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 487. Parallel to the line 2x+3y=6 , containing point (0,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 488. m=34 , containing point (8,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 489. m=35 , containing point (10,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 490. Perpendicular to the line y1=0 , point (2,6)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 491. Perpendicular to the line y-axis, point (6,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 492. Containing the points (4,3) and (8,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 493. Containing the points (2,0) and (3,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 494. Parallel to the line x=3 , containing point (2,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 495. Parallel to the line x=4 , containing point (3,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 496. Containing the points (3,4) and (2,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 497. Containing the points (5,3) and (4,6)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 498. Perpendicular to the line x2y=5 , containing point (2,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 499. Perpendicular to the line 4x+3y=1 , containing point (0,0)Cholesterol. The age, x, and LDL cholesterol level, y, of two men are given by the points (18,69) and (27,122) . Find a linear equation that models the relationship between age and LDL cholesterol level.Fuel consumption. The city mpg, x, and highway mpg, y, of two cars are given by the points (29,40) and (19,28) . Find a linear equation that models the relationship between city mpg and highway mpg.Why are all horizontal lines parallel?Explain in your own words why the slopes of two perpendicular lines must have opposite signs.Determine whether each ordered pair is a solution to the inequality yx3 : (a) (0,0) (b) (4,9) (c) (2,1) (d) (5,3) (e) (5,1)Determine whether each ordered pair is a solution to the inequality yx+1 : (a) (0,0) (b) (8,6) (c) (2,1) (d) (3,4) (e) (1,4)Write the inequality shown by the graph with the boundary line y=2x+3 .Write the inequality shown by the graph with the boundary line y=12x4 .Write the inequality shown by the shaded region in the graph with the boundary line x4y=8 .Write the inequality shown by the shaded region in the graph with the boundary line 3xy=6 .Graph the linear inequality y52x4 .Graph the linear inequality y23x5 .Graph the linear inequality 2x3y6 .Graph the linear inequality 2xy3 .Graph the linear inequality y3x .Graph the linear inequality y2x .Graph the linear inequality y5 .Graph the linear inequality y1 .In the following exercises, determine whether each ordered pair is a solution to the given inequality. 504. Determine whether each ordered pair is a solution to the inequality yx1 : (a) (0,1) (b) (4,1) (c) (4,2) (d) . (3,0) . (e) (2,3)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 505. Determine whether each ordered pair is a solution to the inequality yx3 : (a) (0,0) (b) (2,1) (c) (1,5) (d) (6,3) (e) (1,0)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 506. Determine whether each ordered pair is a solution to the inequality yx+2 : (a) (0,3) (b) (3,2) (c) (2,0) (d) (0,0) (e) (1,4)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 507. Determine whether each ordered pair is a solution to the inequality yx+5 : (a) (3,0) (b) (1,6) (c) (6,2) (d) (0,1) (e) (5,4)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 508. Determine whether each ordered pair is a solution to the inequality x+y4 : (a) (5,1) (b) (2,6) (c) (3,2) (d) (10,5) (e) (0,0)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 509. Determine whether each ordered pair is a solution to the inequality x+y2 : (a) (1,1) (b) (4,3) (c) (0,0) (d) (8,12) (e) (3,0)In the following exercises, write the inequality shown by the shaded region. 510. Write the inequality shown by the graph with the boundary line y=3x4 .In the following exercises, write the inequality shown by the shaded region. 511. Write the inequality shown by the graph with the boundary line y=2x4 .In the following exercises, write the inequality shown by the shaded region. 512. Write the inequality shown by the graph with the boundary line y=12x+1 .In the following exercises, write the inequality shown by the shaded region. 513. Write the inequality shown by the graph with the boundary line y=13x2 .In the following exercises, write the inequality shown by the shaded region. 514. Write the inequality shown by the shaded region in the graph with the boundary line x+y=5 .In the following exercises, write the inequality shown by the shaded region. 515. Write the inequality shown by the shaded region in the graph with the boundary line x+y=3 .In the following exercises, write the inequality shown by the shaded region. 516. Write the inequality shown by the shaded region in the graph with the boundary line 2x+y=4 .In the following exercises, write the inequality shown by the shaded region. 517. Write the inequality shown by the shaded region in the graph with the boundary line x+2y=2 .In the following exercises, write the inequality shown by the shaded region. 518. Write the inequality shown by the shaded region in the graph with the boundary line 3xy=6 .In the following exercises, write the inequality shown by the shaded region. 519. Write the inequality shown by the shaded region in the graph with the boundary line 2xy=4 .In the following exercises, write the inequality shown by the shaded region. 520. Write the inequality shown by the shaded region in the graph with the boundary line 2x5y=10 .In the following exercises, write the inequality shown by the shaded region. 521. Write the inequality shown by the shaded region in the graph with the boundary line 4x3y=12 .In the following exercises, graph each linear inequality. 522. Graph the linear inequality y23x1 .In the following exercises, graph each linear inequality. 523. Graph the linear inequality y35x+2 .In the following exercises, graph each linear inequality. 524. Graph the linear inequality y=12x+4 .In the following exercises, graph each linear inequality. 525. Graph the linear inequality y13x2 .In the following exercises, graph each linear inequality. 526. Graph the linear inequality xy3 .In the following exercises, graph each linear inequality. 527. Graph the linear inequality xy2 .In the following exercises, graph each linear inequality. 528. Graph the linear inequality 4x+y4 .In the following exercises, graph each linear inequality. 529. Graph the linear inequality x+5y5 .In the following exercises, graph each linear inequality. 530. Graph the linear inequality 3x+2y6 .In the following exercises, graph each linear inequality. 531. Graph the linear inequality 4x+2y8 .In the following exercises, graph each linear inequality. 532. Graph the linear inequality y4x .In the following exercises, graph each linear inequality. 533. Graph the linear inequality yx .In the following exercises, graph each linear inequality. 534. Graph the linear inequality yx .In the following exercises, graph each linear inequality. 535. Graph the linear inequality y3x .In the following exercises, graph each linear inequality. 536. Graph the linear inequality y2 .In the following exercises, graph each linear inequality. 537. Graph the linear inequality y1 .In the following exercises, graph each linear inequality. 538. Graph the linear inequality y4 .In the following exercises, graph each linear inequality. 539. Graph the linear inequality y2 .In the following exercises, graph each linear inequality. 540. Graph the linear inequality x5 .In the following exercises, graph each linear inequality. 541. Graph the linear inequality x2 .In the following exercises, graph each linear inequality. 542. Graph the linear inequality x3 .In the following exercises, graph each linear inequality. 543. Graph the linear inequality x4 .In the following exercises, graph each linear inequality. 544. Graph the linear inequality xy4 .In the following exercises, graph each linear inequality. 545. Graph the linear inequality xy3 .In the following exercises, graph each linear inequality. 546. Graph the linear inequality y32x .In the following exercises, graph each linear inequality. 547. Graph the linear inequality y54x .In the following exercises, graph each linear inequality. 548. Graph the linear inequality y2x+1 .In the following exercises, graph each linear inequality. 549. Graph the linear inequality y3x4 .In the following exercises, graph each linear inequality. 550. Graph the linear inequality x1 .In the following exercises, graph each linear inequality. 551. Graph the linear inequality x0 .Money. Gerry wants to have a maximum of $100 cash at the ticket booth when his church carnival opens. He will have $1 bills and $5 bills. If x is the number of $1 bills and y is the number of $5 bills, the inequality x+5y100 models the situation. (a) Graph the inequality. (b) List three solutions to the inequality x+5100 where both x and y are integers.Shopping. Tula has $20 to spend at the used book sale. Hardcover books cost $2 each and paperback books cost $0.50 each. If x is the number of hardcover books Tula can buy and y is the number of paperback books she can buy, the inequality 2x+12y20 models the situation. (a) Graph the inequality. (b) List three solutions to the inequality 2x+1220 where both x and y are whole numbers.Lester thinks that the solution of any inequality with a > sign is the region above the line and the solution of any inequality with a < sign is the region below the line. Is Lester correct? Explain why or why not.Explain why in some graphs of linear inequalities the boundary line is solid but in other graphs it is dashed.In the following exercises, plot each point in a rectangular coordinate system. 556. (a) (1,5) (b) (3,4) (c) (2,3) (d) (1,52)In the following exercises, plot each point in a rectangular coordinate system. 557. (a) (4,3) (b) (4,3) (c) (4,3) (d) (4,3)In the following exercises, plot each point in a rectangular coordinate system. 558. (a) (2,0) (b) (0,4) (c) (0,5) (d) (3,0)In the following exercises, plot each point in a rectangular coordinate system. 559. (a) (2,32) (b) (3,43) (c) (13,4) (d) (12,5)In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 560.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 561.In the following exercises, which ordered pairs are solutions to the given equations? 562. 5x+y=10 (a) (5,1) (b) (2,0) (c) (4,10)In the following exercises, which ordered pairs are solutions to the given equations? 563. y=6x2 (a) (1,4) (b) (13,0) (c) (6,2)In the following exercises, complete the table to find solutions to each linear equation. 564. y=4x1In the following exercises, complete the table to find solutions to each linear equation. 565. y=12x+3In the following exercises, complete the table to find solutions to each linear equation. 566. x+2y=5In the following exercises, complete the table to find solutions to each linear equation. 567. 3x+2y=6In the following exercises, find three solutions to each linear equation. 568. x+y=3In the following exercises, find three solutions to each linear equation. 569. x+y=4In the following exercises, find three solutions to each linear equation. 570. y=3x+1In the following exercises, find three solutions to each linear equation. 571. y=x1In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 572. y=x+4 (0,4)(1,3)(2,2)(2,6)In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 573. y=23x1 (0,1)(3,1)(3,3)(6,4)In the following exercises, graph by plotting points. 574. y=4x3In the following exercises, graph by plotting points. 575. y=3xIn the following exercises, graph by plotting points. 576. y=12x+3In the following exercises, graph by plotting points. 577. xy=6In the following exercises, graph by plotting points. 578. 2x+y=7In the following exercises, graph by plotting points. 579. 3x2y=6In the following exercises, graph each equation. 580. y=2In the following exercises, graph each equation. 581. x=3In the following exercises, graph each pair of equations in the same rectangular coordinate system. 582. y=2x and y=2In the following exercises, graph each pair of equations in the same rectangular coordinate system. 583. y=43x and y=43In the following exercises, find the x- and y-intercepts. 584.In the following exercises, find the x- and y-intercepts. 585.In the following exercises, find the intercepts of each equation. 586. x+y=5In the following exercises, find the intercepts of each equation. 587. xy=1In the following exercises, find the intercepts of each equation. 588. x+2y=6In the following exercises, find the intercepts of each equation. 589. 2x+3y=12In the following exercises, find the intercepts of each equation. 590. y=34x12In the following exercises, find the intercepts of each equation. 591. y=3xIn the following exercises, graph using the intercepts. 592. x+3y=3In the following exercises, graph using the intercepts. 593. x+y=2In the following exercises, graph using the intercepts. 594. xy=4In the following exercises, graph using the intercepts. 595. 2xy=5In the following exercises, graph using the intercepts. 596. 2x4y=8In the following exercises, graph using the intercepts. 597. y=2xIn the following exercises, find the slope modeled on each geoboard. 598.In the following exercises, find the slope modeled on each geoboard. 599.In the following exercises, find the slope modeled on each geoboard. 600.In the following exercises, find the slope modeled on each geoboard. 601.In the following exercises, model each slope. Draw a picture to show your results. 602. 13In the following exercises, model each slope. Draw a picture to show your results. 603. 32In the following exercises, model each slope. Draw a picture to show your results. 604. 23In the following exercises, model each slope. Draw a picture to show your results. 605. 12In the following exercises, find the slope of each line shown. 606.In the following exercises, find the slope of each line shown. 607.In the following exercises, find the slope of each line shown. 608.In the following exercises, find the slope of each line shown. 609.In the following exercises, find the slope of each line. 610. y=2In the following exercises, find the slope of each line. 611. x=5In the following exercises, find the slope of each line. 612. x=3In the following exercises, find the slope of each line. 613. y=1In the following exercises, use the slope formula to find the slope of the line between each pair of points. 614. (1,1),(0,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 615. (3,5),(4,1)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 616. (5,2),(3,2)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 617. (2,1),(4,6)In the following exercises, graph each line with the given point and slope. 618. (2,2);m=52In the following exercises, graph each line with the given point and slope. 619. (3,4);m=13In the following exercises, graph each line with the given point and slope. 620. x-intercept 4;m=3In the following exercises, graph each line with the given point and slope. 621. y-intercept 1; m=34In the following exercises, solve these slope applications. 622. The roof pictured below has a rise of 10 feet and a run of 15 feet. What is its slope?In the following exercises, solve these slope applications. 623. A mountain road rises 50 feet for a 500-foot run. What is its slope?In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 624. y=4x1In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b. 625. y=23x+4In the following exercises, identify the slope and y-intercept of each line. 626. y=4x+9In the following exercises, identify the slope and y-intercept of each line. 627. y=53x6In the following exercises, identify the slope and y-intercept of each line. 628. 5x+y=10In the following exercises, identify the slope and y-intercept of each line. 629. 4x5y=8In the following exercises, graph the line of each equation using its slope and y-intercept. 630. y=2x+3In the following exercises, graph the line of each equation using its slope and y-intercept. 631. y=x1In the following exercises, graph the line of each equation using its slope and y-intercept. 632. y=25x+3In the following exercises, graph the line of each equation using its slope and y-intercept. 633. 4x3y=12In the following exercises, determine the most convenient method to graph each line. 634. x=5In the following exercises, determine the most convenient method to graph each line. 635. y=3In the following exercises, determine the most convenient method to graph each line. 636. 2x+y=5In the following exercises, determine the most convenient method to graph each line. 637. xy=2In the following exercises, determine the most convenient method to graph each line. 638. y=x+2In the following exercises, determine the most convenient method to graph each line. 639. y=34x1Katherine is a private chef. The equation C=6.5m+42 models the relation between her weekly cost, C, in dollars and the number of meals, m, that she serves. (a) Find Katherine’s cost for a week when she serves no meals. (b) Find the cost for a week when she serves 14 meals. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Marjorie teaches piano. The equation P=35h250 models the relation between her weekly profit, P, in dollars and the number of student lessons, s, that she teaches. (a) Find Marjorie’s profit for a week when she teaches no student lessons. (b) Find the profit for a week when she teaches 20 student lessons. (c) Interpret the slope and Pintercept of the equation. (d) Graph the equation.In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 642. 4x3y=1;y=43x3In the following exercises, use slopes and y-intercepts to determine if the lines are parallel. 643. 2xy=8;x2y=4In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 644. y=5x1;10x+2y=0In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular. 645. 3x2y=5;2x+3y=6In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 646. slope 13 and y-intercept (0,6)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 647. slope 5 and y-intercept (0,3)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 648. slope 0 and y-intercept (0,4)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 649. slope 2 and y-intercept (0,0)In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 650.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 651.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 652.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 653.In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 654. m=14 , point (8,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 655. m=35 , point (10,6)UIn the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 656. Horizontal line containing (2,7)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. 657. m=2 , point (1,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slopeintercept form. 658. (2,10) and (2,2)In the following exercises, find the equation of a line containing the given points. Write the equation in slopeintercept form. 659. (7,1) and (5,0)In the following exercises, find the equation of a line containing the given points. Write the equation in slopeintercept form. 660. (3,8) and (3,4) .In the following exercises, find the equation of a line containing the given points. Write the equation in slopeintercept form. 661. (5,2) and (1,2)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 662. line y=3x+6 , point (1,5)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 663. line 2x+5y=10 , point (10,4)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 664. line x=4 , point (2,1)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 665. line y=5 , point (4,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 666. line y=45x+2 , point (8,9)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 667. line 2x3y=9 , point (4,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 668. line y=3 , point (1,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 669. line x=5 point (2,1)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 670. Determine whether each ordered pair is a solution to the inequality yx3 : (a) (0,1) (b) (2,4) (c) (5,2) (d) (3,1) (e) (1,5)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 671. Determine whether each ordered pair is a solution to the inequality x+y4 : (a) (6,1) (b) (3,6) (c) (3,2) (d) (5,10) (e) (0,0)In the following exercises, write the inequality shown by the shaded region. 672. Write the inequality shown by the graph with the boundary line y=x+2 .In the following exercises, write the inequality shown by the shaded region. 673. Write the inequality shown by the graph with the boundary line y=23x3 .In the following exercises, write the inequality shown by the shaded region. 674. Write the inequality shown by the shaded region in the graph with the boundary line x+y=4 .In the following exercises, write the inequality shown by the shaded region. 675. Write the inequality shown by the shaded region in the graph with the boundary line x2y=6 .In the following exercises, graph each linear inequality. 676. Graph the linear inequality y25x4 .In the following exercises, graph each linear inequality. 677. Graph the linear inequality y14x+3 .In the following exercises, graph each linear inequality. 678. Graph the linear inequality xy5 .In the following exercises, graph each linear inequality. 679. Graph the linear inequality 3x+2y10 .In the following exercises, graph each linear inequality. 680. Graph the linear inequality y3x .In the following exercises, graph each linear inequality. 681. Graph the linear inequality y6 .Plot each point in a rectangular coordinate system. (a) (2,5) (b) (1,3) (c) (0,2) (d) (4,35) (d) (5,0)Which of the given ordered pairs are solutions to the equation 3xy=6? (a) (3,3) (b) (2,0) (c) (4,6)Find three solutions to the linear equation y=2x4 .Find the x- and y-intercepts of the equation 4x3y=12 .Find the slope of each line shown. 686.Find the slope of each line shown. 687.Find the slope of each line shown. 688.Find the slope of each line shown. 689. Find the slope of the line between the points (5,2) and (1,4) .Find the slope of each line shown. 690. Graph the line with slope 12 containing the point (3,4) .Graph the line for each of the following equations. 691. y=53x1Graph the line for each of the following equations. 692. y=xGraph the line for each of the following equations. 693. xy=2Graph the line for each of the following equations. 694. 4x+2y=8Graph the line for each of the following equations. 695. y=2Graph the line for each of the following equations. 696. x=3Find the equation of each line. Write the equation in slope-intercept form. 697. slope 34 and y-intercept (0,2)Find the equation of each line. Write the equation in slope-intercept form. 698. m=2 , point (3,1)Find the equation of each line. Write the equation in slope-intercept form. 699. containing (10,1) and (6,1)Find the equation of each line. Write the equation in slope-intercept form. 700. parallel to the line y=23x1 , containing the point (3,8)Find the equation of each line. Write the equation in slope-intercept form. 701. perpendicular to the line y=54x+2 , containing the point (10,3)Find the equation of each line. Write the equation in slope-intercept form. 702. Write the inequality shown by the graph with the boundary line y=x3 .Graph each linear inequality. 703. y32x+5Graph each linear inequality. 704. xy4Graph each linear inequality. 705. y5xGraph each linear inequality. 706. y3Determine whether the ordered pair is a solution to the system: {3x+y=0x+2y=5 . (a) (1,3) (b) (0,0)Determine whether the ordered pair is a solution to the system: {x3y=83xy=4 . (a) (2,2) (b) (2,2)Solve each system by graphing: {x3y=3x+y=5 .Solve each system by graphing: {x+y=13x+2y=12 .Solve each system by graphing: {y=2x+2y=x4 .Solve each system by graphing: {y=3x+3y=x+7 .Solve each system by graphing: {x+y=12x+y=10 .Solve each system by graphing: {2x+y=6x+y=1 .Solve each system by graphing: {x+y=6xy=2 .Solve each system by graphing: {x+y=2xy=8 .Solve each system by graphing: {y=1x+3y=6 .Solve each system by graphing: {x=43x2y=24 .Solve each system by graphing: {y= 1 4x+2x+4y=8 .Solve each system by graphing: {y=3x16x2y=6 .Solve each system by graphing: {y=3x66x+2y=12 .Solve each system by graphing: {y= 1 2x42x4y=16 .