Writing Linear Equations re.com
Kuta Software - Infinite Algebra 1
Name___________________________________
Writing Linear Equations
Date________________ Period____
Write the slope-intercept form of the equation of each line.
1) 3x - 2 y = -16
2) 13x - 11 y = -12
3) 9x - 7 y = -7
4) x - 3 y = 6
5) 6x + 5 y = -15
6) 4x - y = 1
7) 11x - 4 y = 32
8) 11x - 8y = -48
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
10) through: (3, -1), slope = -1
11) through: (-2, 5), slope = -4
12) through: (3, 5),
5 slope =
3
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-1-
Worksheet by Kuta Software LLC
13) through: (2, -4), slope = -1
14) through: (2, 5), slope = undefined
15) through: (3, 1),
1 slope =
2
16) through: (-1, 2), slope = 2
Write the point-slope form of the equation of the line described.
17)
through: (4, 2),
parallel to
y = -
3 x - 5
4
18)
through: (-3, -3),
parallel to
y =
7 x + 3
3
19)
through: (-4, 0),
parallel to
y =
3 x - 2
4
20) through: (-1, 4), parallel to y = -5x + 2
21)
through: (2, 0),
parallel to
y =
1 x + 3
3
22) through: (4, -4), parallel to y = -x - 4
23)
through: (-2, 4),
parallel to
y = -
5 x + 5
2
24)
through: (-4, -1),
parallel to
y = -
1 x - 1
2
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Name___________________________________
Writing Linear Equations
Date________________ Period____
Write the slope-intercept form of the equation of each line.
1) 3x - 2 y = -16 3
y= x+8 2
2) 13x - 11 y = -12 13 12
y= x+ 11 11
3) 9x - 7 y = -7 9
y= x+1 7
4) x - 3 y = 6 1
y= x-2 3
5) 6x + 5 y = -15 6
y=- x-3 5
6) 4x - y = 1 y = 4x - 1
7) 11x - 4 y = 32 11
y= x-8 4
8) 11x - 8y = -48 11
y= x+6 8
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
10) through: (3, -1), slope = -1
7x - y = 5
x+ y=2
11) through: (-2, 5), slope = -4
4x + y = -3
12) through: (3, 5),
5 slope =
3
5x - 3y = 0
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-1-
Worksheet by Kuta Software LLC
13) through: (2, -4), slope = -1
x + y = -2
14) through: (2, 5), slope = undefined
x = 2
15) through: (3, 1),
1 slope =
2
x - 2y = 1
16) through: (-1, 2), slope = 2
2x - y = -4
Write the point-slope form of the equation of the line described.
17)
through: (4, 2),
parallel to
y = -
3 x - 5
4
18)
through: (-3, -3),
parallel to
y =
7 x + 3
3
y - 2 = - 3 (x - 4)
4
y + 3 = 7 (x + 3)
3
19)
through: (-4, 0),
parallel to
y =
3 x - 2
4
y = 3 (x + 4)
4
20) through: (-1, 4), parallel to y = -5x + 2 y - 4 = -5(x + 1)
21)
through: (2, 0),
parallel to
y =
1 x + 3
3
y = 1 (x - 2)
3
22) through: (4, -4), parallel to y = -x - 4 y + 4 = -(x - 4)
23)
through: (-2, 4),
parallel to
y = -
5 x + 5
2
y - 4 = - 5 (x + 2)
2
24)
through: (-4, -1),
parallel to
y = -
1 x - 1
2
y + 1 = - 1 (x + 4)
2
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-2-
Worksheet by Kuta Software LLC
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