WorksheetsParallel & Perpendicular Line Review
Total questions: 25
Worksheet time: 41mins
Name
Class
Date
1.
If two lines are parallel their slopes are ____________
a)
the same.
b)
negative reciprocals of each other.
2.
Are these lines parallel?
y = 12x + 4
y = 12x +14
y = 12x + 4
y = 12x +14
a)
YES
b)
NO
3.
Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5
a)
YES
b)
NO
4.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
5.
Write an equation of a line that passes through the point (-2,3) and is parallel to the line x = 4
a)
y = -2
b)
y = 2
c)
x = 2
d)
x = -2
6.
If two lines are perpendicular to each other their slopes are ____________
a)
the same.
b)
negative reciprocals of each other.
7.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
8.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
9.
Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4
a)
y = 3
b)
x = -3
c)
y = -3
d)
x = 3
10.
Determine if the lines passing through the following points are parallel, perpendicular, or neither.
Line 1: (1, 2) and (3, 1)
Line 2: (0, -1) and (2, 0)
Line 1: (1, 2) and (3, 1)
Line 2: (0, -1) and (2, 0)
a)
Parallel
b)
Perpendicular
c)
Neither
11.
Determine if the lines passing through the following points are parallel, perpendicular, or neither.
Line 1: (0, 3) and (3, 1)
Line 2: (-1, 4) and (-7, -5)
Line 1: (0, 3) and (3, 1)
Line 2: (-1, 4) and (-7, -5)
a)
Parallel
b)
Perpendicular
c)
Neither
12.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
13.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
14.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
15.
What slope is parallel to:
m = 3/4
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
16.
Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)
y = -5x + 3 through (-5, -4)
a)
y = -3x + 1/5
b)
y = -3x - 1/5
c)
y = 1/5x - 3
d)
y = -1/5x - 3
17.
Write an equation of a line perpendicular to y = -1/5x + 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
18.
Write an equation of a line perpendicular to y = 2x + 3 through (-2, 4)
a)
y = -3/2x + 3
b)
y = 3/2x + 3
c)
y = -1/2x + 3
d)
y = 3x - 3/2
19.
Choose the equation that is perpendicular to:
y - 3 = 1/2 (x - 4)
y - 3 = 1/2 (x - 4)
a)
y - 4 = .5 (x - 3)
b)
y - 4 = 2 (x - 3)
c)
y - 4 = - .5 (x - 3)
d)
y - 4 = - 2 (x - 3)
20.
Choose the equation that is parallel to:
y - 3 = 1/2 (x - 4)
y - 3 = 1/2 (x - 4)
a)
y - 4 = .5 (x - 3)
b)
y - 4 = 2 (x - 3)
c)
y - 4 = - .5 (x - 3)
d)
y - 4 = - 2 (x - 3)
21.
Determine the slope and y-intercept from the following equation: 2y = 3x + 6
a)
m: 2/3 b: (0,3)
b)
m: 3/2 b: (0,3)
c)
m: 4 b: (0,3/2)
d)
m: 1/5 b: (0,5)
22.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
23.
a)
parallel
b)
perpendicular
c)
neither
d)
not enough information
24.
Write an equation for a line parallel to
y = 5/4x + 4 through (-4, -3)
y = 5/4x + 4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
25.
Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)
a)
y = 2/3x - 3
b)
y = 2/3x - 11/3
c)
y = 2/3x - 4
d)
y = 2/3x - 5/3
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