Writing Linear Equations - 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 2) 13x − 11 y = −12

3) 9x − 7 y = −7 4) x − 3y = 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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13) through: (2, −4), slope = −1 14) through: (2, 5), slope = undefined

15) through: (3, 1), 1 16) through: (−1, 2), slope = 2
slope =
2

Write the point-slope form of the equation of the line described.

17) through: (4, 2), parallel to y=− 3 18) through: (−3, −3), parallel to y= 7
x−5 x+3
4 3

19) through: (−4, 0), parallel to y= 3 20) through: (−1, 4), parallel to y = −5x + 2
x−2
4

21) through: (2, 0), parallel to y= 1 22) through: (4, −4), parallel to y = −x − 4
x+3
3

23) through: (−2, 4), parallel to y=− 5 24) through: (−4, −1), parallel to y=− 1
x+5 x−1
2 2

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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 13 12

y= x+8 y= x+
2 11 11

3) 9x − 7 y = −7 4) x − 3y = 6
9 1

y= x+1 y= x−2
7 3

5) 6x + 5 y = −15 6) 4x − y = 1
6 y = 4x − 1

y=− x−3
5

7) 11x − 4 y = 32 8) 11x − 8y = −48
11 11

y= x−8 y= x+6
4 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 12) through: (3, 5), 5
slope =
4x + y = −3 3

5x − 3y = 0

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13) through: (2, −4), slope = −1 14) through: (2, 5), slope = undefined

x + y = −2 x=2

15) through: (3, 1), 1 16) through: (−1, 2), slope = 2
slope =
2 2x − y = −4

x − 2y = 1

Write the point-slope form of the equation of the line described.

17) through: (4, 2), parallel to y=− 3 18) through: (−3, −3), parallel to y= 7
x−5 x+3
4 3

y − 2 = − 3 (x − 4) y + 3 = 7 (x + 3)

4 3

19) through: (−4, 0), parallel to y= 3 20) through: (−1, 4), parallel to y = −5x + 2
x−2 y − 4 = −5(x + 1)
4

y = 3 (x + 4)

4

21) through: (2, 0), parallel to y= 1 22) through: (4, −4), parallel to y = −x − 4
x+3 y + 4 = −(x − 4)
3

y = 1 (x − 2)

3

23) through: (−2, 4), parallel to y=− 5 24) through: (−4, −1), parallel to y=− 1
x+5 x−1
2 2

y − 4 = − 5 (x + 2) y + 1 = − 1 (x + 4)

2 2

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