Describe each line. a) [x, y] = [2, -5] + t[0, 1] b) [x, y] = [3, 7] + [2, 0] c) [x, y, z] = [-1, 3, 4] + d) [x, y, z]= [8, 5, -6] + [1, 0, 0] [0, 1, 1]

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

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Q: from one point to another, or [x₁ − x₂] + |y₁ - y₂ for points (x₁, y₁) & (x2, Y2). Plot A(2, 5). A)…

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Q: 1.) Find the slope and angle of the line joining (2, 2) and (22) that the three points (x,-3), (9,…

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Q: Find k so that the line through (– 3,2) and (k,4) is a) parallel to 5y- 2x = 1; b) perpendicular to…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

A: Given

Q: Match each line with a perpendicular line. A. y = 5x +2 1. the line through (2, 12) and (17, 9) В.…

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Q: a) y = 3x-2x+1 b) 2x-9y=8 c) d)

A: We will classify given equations.

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

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Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

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Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Find the slopes of the lines containing: a) (2, – 3) and (4, 5) b) (3, – 2) and (3, 7) c) (1, – 1)…

A: We know that slopem of line which contain two pointsx1,y1,x2,y2 is given by m=y2-y1x2-x1…

Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: 7) Find the general equation of the straight line 1. 6. 4 3 -2 -1- -2 -3 -4 -6

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Q: II. Fill in the missing entry in each row: Equation of line m X=0 Y=X 2.) X = 2 Point P (x,y) (-2,3)…

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Q: Q2) Find the slope of the straight line L1 that passes through the points Pl (0, 6) and P2 (5, 2),…

A: Consider the given point for line L1. P1=0,6P2=5,2 Now, find the slope from the above points.…