Intermediate Algebra
Name___________________________________ ID: 1
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3.4 Writing Linear Equations
Date________________ Period____
Write the slope-intercept form of the equation of each line.
1)
2)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
3)
4)
y
4
2
2
1
2
3
4
5 x
2
3
4
5 x
1
2
3
4
5 x
y
4
-5 -4 -3 -2 -1
1
-5 -4 -3 -2 -1
-2
-2
-4
-4
Worksheet by Kuta Software LLC
-1-
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5)
6)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
7)
8)
y
4
2
2
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
9)
10)
y
4
2
2
1
2
3
4
5 x
3
4
5 x
1
2
3
4
5 x
y
4
-5 -4 -3 -2 -1
2
y
4
-5 -4 -3 -2 -1
1
-5 -4 -3 -2 -1
-2
-2
-4
-4
1
2
3
4
5 x
Worksheet by Kuta Software LLC
-2-
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11)
12)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
1
2
3
4
5 x
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
13) Slope = 2, y-intercept = 2
14) Slope = 6, y-intercept = 5
15) Slope = -9, y-intercept = -5
7
16) Slope = - , y-intercept = -2
2
Write the slope-intercept form of the equation of each line.
17) 4x + y = -31
18) y = -7
Worksheet by Kuta Software LLC
-3-
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19) 5x + 6 y = 48
20) x + y = -6
21) y + 4 = 3( x + 3)
22) y + 1 = -4( x + 1)
23) y - 4 = 7( x + 2)
24) y + 4 =
3
( x + 2)
5
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
25) through: (2, 3), slope = 1
27) through: (1, -3), slope =
26) through: (0, -4), slope = -
7
3
3
5
28) through: (-2, -4), slope = -
1
2
Worksheet by Kuta Software LLC
-4-
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29) through: (2, 4), slope = 4
30) through: (3, -4), slope = -
5
3
Write the slope-intercept form of the equation of the line through the given points.
31) through: (3, 1) and (0, 0)
32) through: (0, 0) and (1, -1)
33) through: (0, -2) and (3, -1)
34) through: (-2, 1) and (-3, 3)
35) through: (-2, 2) and (0, -2)
36) through: (-4, -5) and (-1, -1)
Write the slope-intercept form of the equation of the line described.
37) through: (4, -3), parallel to y = -2x + 2
3
38) through: (-4, 3), parallel to y = - x + 3
2
Worksheet by Kuta Software LLC
-5-
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39) through: (1, -2), parallel to y = -5x - 4
5
40) through: (2, 4), parallel to y = x
2
41) through: (1, 0), parallel to y = -3x - 3
42) through: (-1, 3), parallel to y = -x - 5
43) through: (4, -5), perp. to y = 4x - 4
7
44) through: (-2, 2), perp. to y = x - 5
3
1
45) through: (4, 4), perp. to y = - x + 2
5
46) through: (1, -3), perp. to y = x - 5
2
47) through: (-2, -1), perp. to y = - x - 4
3
1
48) through: (2, -1), perp. to y = x - 1
2
Worksheet by Kuta Software LLC
-6-
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