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