PARALLEL PERPENDICULAR INTERSECTING LINES WORKSHEET

Problem 1 :

Line A passes through the points (4, 6) and (-3, 2). What is the slope of a line that is parallel to line A?

Solution

Problem 2 :

Line B passes through the points (-1, 0) and (4, -7). What is the slope of a line that is parallel to line B?

Solution

Problem 3 :

Line C passes through the points (5, -10) and (15, 20). What is the slope of a line that is perpendicular to line C?

Solution

Problem 4 :

Line D passes through the points (12, 3) and (15, 6). What is the slope of a line that is perpendicular to line D?

Solution

Problem 5 :

Find an equation of a line that is parallel to y = 2x + 4 with a y-intercept at (0, -7).

Solution

Problem 6 :

Find an equation of a line that is parallel to y-3=-12(x-9) with a y-intercept at (0,3).

Solution

Problem 7 :

Find an equation of a line that is parallel to y = 3x - 14 that passes through the point (4, 5). 

Solution

Problem 8 :

Find an equation of a line that is perpendicular to y=-23x+9 with a y-intercept at (0, -4).

Solution

Problem 9 :

Find an equation for the line that is perpendicular to y + 2 = 2(x - 5) with a y-intercept at (0, -7).

Solution

Problem 10 :

Find an equation of a line that is perpendicualr to y=45x+3 that passes through the point (1,2).

Solution

Answer Key

1) m = 4/7

2)  m = -7/5

3) m = -1/3

4)  m = -1

5)  y = 2x - 7

6)  y = -(1/2)x + 3

7)  y = 3x - 7

8)  y = (3/2)x - 4

9)  y = -(1/2)x - 7

10)  y = (5x/4) + (13/4)

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