Writing Linear Equations - Kuta Software

[Pages:4]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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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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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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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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