In Exercises 3-6, graph the linear equation. (See Example 1.) 3. r= 4 4. y = 2 5. y= -3 6. x= - 1 In Exercises 7–12, find thex- and y-intercepts of the graph of the linear equation. 7. 2r + 3y =12 8. 3x + 6y = 24 %3D %3D

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3 -25 odd numbers only and work shown please and thank you
2 rent tables to
and large tab
here x is thhe
Exercises
Dynamic Solutions available at BigldeasMath.com
3.4
Vocabulary and Core Concept Check
2. WHICH ONE DOESN'T BELONG? Which point does not belong with the other three?
Explain your reasoning.
1. WRITING How are x-intercepts and y-intercepts alike? How are they different?
e situation. y
Cour solutions
(4, 0)
raph to inter
(4, -3)
(0, -3)
(0, 0)
24. MODELING WITH MATHEMATICS You are ordering
shirts for the math club at your school. Short-sleeved
shirts cost $10 each. Long-sleeved shirts cost
$12 each. You have a budget of $300 for the shirts.
The equation 10x + 12y = 300 models the total cost,
where x is the number of short-sleeved shirts and
y is the number of long-sleeved shirts.
ive, so only
Monitoring Progress and Modeling with Mathematics
In Exercises 3-6, graph the linear equation.
(See Example 1.)
4. y = 2
3. x = 4
6.
x = -1
5. y = -3
In Exercises 7-12, find the x- and y-intercepts of the
graph of the linear equation.
a. Graph the equation. Interpret the intercepts.
b. Twelve students decide they want short-sleeved
shirts. How many long-sleeved shirts can
7. 2x + 3y = 12
8. 3x + 6y = 24
you.order?
ERROR ANALYSIS In Exercises 25 and 26, describe and
correct the error in finding the intercepts of the graph
of the equation.
9. -4x + 8y = -16
10. -6x + 9y = -18
11. Зх - бу — 2
12. -x + 8y = 4
In Exercises 13–22, use intercepts to graph the linear
equation. Label the points corresponding to the
intercepts. (See Example 2.)
O not
ge tah
25.
3x+ 12y= 24
3x+ 12y= 24
3(0) + 12y = 24
14. 4x + 6y = 12
3x + 12(0) = 24
13. 5x + 3y = 30
-ble
15. -12x + 3y = 24
3x = 24
12y= 24
16. -2x + 6y = 18
y = 2
12
x= 8
17. -4x + 3y = -30
18. -2x + 7y = -21
The intercept is at (8, 2).
19. -x + 2y = 7
20. 3x - y = -5
26.
4x + 10y= 2O
4x + 10y= 2O
21. -x + y = 10
22. -x+ y = -4
4x + 10(0) = 20
4(0) + 10y= 20
23. MODELING WITH MATHEMATICS A football team
has an away game, and the bus breaks down. The
coaches decide to drive the players to the game in
cars and vans. Four players can ride in each car. Six
players can ride in each van. There are 48 players
on the team. The equation 4x + 6y = 48 models this
situation, where x is the number of cars and y is the
4x = 20
10y = 20
x= 5
y= 2
The x-intercept is at (0,5), and
the y-intercept is at (2,0).
number of vans. (See Example 3.)
a. Graph the equation. Interpret the intercepts.
b. Find four possible solutions in the context of
the problem.
13
Section 3.4
Graphing Linear Equations in Standard Form
Transcribed Image Text:2 rent tables to and large tab here x is thhe Exercises Dynamic Solutions available at BigldeasMath.com 3.4 Vocabulary and Core Concept Check 2. WHICH ONE DOESN'T BELONG? Which point does not belong with the other three? Explain your reasoning. 1. WRITING How are x-intercepts and y-intercepts alike? How are they different? e situation. y Cour solutions (4, 0) raph to inter (4, -3) (0, -3) (0, 0) 24. MODELING WITH MATHEMATICS You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x + 12y = 300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts. ive, so only Monitoring Progress and Modeling with Mathematics In Exercises 3-6, graph the linear equation. (See Example 1.) 4. y = 2 3. x = 4 6. x = -1 5. y = -3 In Exercises 7-12, find the x- and y-intercepts of the graph of the linear equation. a. Graph the equation. Interpret the intercepts. b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can 7. 2x + 3y = 12 8. 3x + 6y = 24 you.order? ERROR ANALYSIS In Exercises 25 and 26, describe and correct the error in finding the intercepts of the graph of the equation. 9. -4x + 8y = -16 10. -6x + 9y = -18 11. Зх - бу — 2 12. -x + 8y = 4 In Exercises 13–22, use intercepts to graph the linear equation. Label the points corresponding to the intercepts. (See Example 2.) O not ge tah 25. 3x+ 12y= 24 3x+ 12y= 24 3(0) + 12y = 24 14. 4x + 6y = 12 3x + 12(0) = 24 13. 5x + 3y = 30 -ble 15. -12x + 3y = 24 3x = 24 12y= 24 16. -2x + 6y = 18 y = 2 12 x= 8 17. -4x + 3y = -30 18. -2x + 7y = -21 The intercept is at (8, 2). 19. -x + 2y = 7 20. 3x - y = -5 26. 4x + 10y= 2O 4x + 10y= 2O 21. -x + y = 10 22. -x+ y = -4 4x + 10(0) = 20 4(0) + 10y= 20 23. MODELING WITH MATHEMATICS A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x + 6y = 48 models this situation, where x is the number of cars and y is the 4x = 20 10y = 20 x= 5 y= 2 The x-intercept is at (0,5), and the y-intercept is at (2,0). number of vans. (See Example 3.) a. Graph the equation. Interpret the intercepts. b. Find four possible solutions in the context of the problem. 13 Section 3.4 Graphing Linear Equations in Standard Form
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