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WorksheetsLinear Equations
Total questions: 24
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
What slope is parallel to:
m = 3/4
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
2.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
3.
y = 5/7x +2
y = 5/7x - 30
These lines are...
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
Coincidental
4.
y = 6x + 2
y = -6x + 2
These lines are...
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
Coincidental
5.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
6.
Which of the following lines goes through the point (-3, 4) and is perpendicular to
y = 3/2x + 6?
y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
7.
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 + 5/3
b)
y = 2/3x - 11/3
c)
y = 2/3x - 4
d)
y = -2/3x + 9
8.
Given the line 2x-3y=9, write the equation of a line perpendicular to it that passes through the point (4, -1)
a)
y = 3/2x - 7
b)
y = -2/3x + 5/3
c)
y = 2/3x - 11/3
d)
y = -3/2x + 5
9.
Line m contains the points
(-3, 4) and (1, 0). Write the equation of a line that would be parallel to m and pass through the point (-2, 6).
(-3, 4) and (1, 0). Write the equation of a line that would be parallel to m and pass through the point (-2, 6).
a)
y = -x + 4
b)
y = -x + 6
c)
y = x + 8
d)
y = x + 6
10.
Line m contains the points
(-3, 4) and (1, 0). Write the equation of a line that would be perpendicular to m and pass through the point (-2, 6).
(-3, 4) and (1, 0). Write the equation of a line that would be perpendicular to m and pass through the point (-2, 6).
a)
y = -x + 4
b)
y = x + 6
c)
y = x + 8
d)
y = -7x - 8
11.
Rewrite
4y = 3 - 4/5x
in standard form.
4y = 3 - 4/5x
in standard form.
a)
4x - 20y = 15
b)
4x + 4y = 15
c)
4x + 20y = 15
d)
4x + 4y = 3
12.
Rewrite
y - 2 = 4/3(x - 1) in standard form
y - 2 = 4/3(x - 1) in standard form
a)
4x + 3y = -2
b)
4x - 3y = -2
c)
4x - 3y = 1
d)
4x - 3y = -2/3
13.
Which is a point on the graph of y -1 = 5(x+2)?
a)
(-2, 1)
b)
(1, -2)
c)
(-2, -1)
d)
(-1, 2)
14.
Which is a point on the graph of y = -2/3x+4?
a)
(-2/3, 4)
b)
(-3, -2)
c)
(6, 0)
d)
(4, 0)
15.
Find the x-intercept of
3x - 7y = 21
3x - 7y = 21
a)
(3, 0)
b)
(7,0)
c)
(0, -3)
d)
(-3,0)
16.
Find the slope of x = 3y
a)
1
b)
3
c)
0
d)
1/3
17.
Write the equation of the line that goes through (-4, 1) and ( 2, 13) in slope-intercept form.
a)
y - 13 = 2(x - 2)
b)
y = 2x + 9
c)
y - 1 = -2(x + 4)
d)
y = -1/2x - 1
18.
Rewrite
y - 2 = 4/3(x - 1) in standard form
y - 2 = 4/3(x - 1) in standard form
a)
4x + 3y = -2
b)
4x - 3y = -2
c)
4x - 3y = 1
d)
4x - 3y = -2/3
19.
Which is a point on the graph of y -1 = 5(x+2)?
a)
(-2, 1)
b)
(1, -2)
c)
(-2, -1)
d)
(-1, 2)
20.
Which is a point on the graph of y = -2/3x+4?
a)
(-2/3, 4)
b)
(-3, -2)
c)
(6, 0)
d)
(4, 0)
21.
Find the x-intercept of
3x - 7y = 21
3x - 7y = 21
a)
(3, 0)
b)
(7,0)
c)
(0, -3)
d)
(-3,0)
22.
Find the slope of x = 3y
a)
1
b)
3
c)
0
d)
1/3
23.
Write the equation of the line that goes through (-4, 1) and ( 2, 13) in slope-intercept form.
a)
y - 13 = 2(x - 2)
b)
y = 2x + 9
c)
y - 1 = -2(x + 4)
d)
y = -1/2x - 1
24.
Write the equation of the horizontal line that goes through (4, 8)
a)
undefined
b)
x = 4
c)
y = 8
d)
y = 2x
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