# REWRITE SLOPE INTERCEPT FORM WORKSHEET

## About "Rewrite slope intercept form worksheet"

Rewrite slope intercept form worksheet :

Here we are going to see some practice questions of the the topic rewriting the equation into slope intercept form.

y = mx + b

Here "m" stands for slope and "b" stands for y-intercept.

## Rewrite slope intercept form worksheet - Questions

(1) Rewrite the following equation as slope intercept form

8x - 4y = 20

(2) Rewrite the following equation as slope intercept form

2x + 3y = 12

(3) Rewrite the following equation as slope intercept form

2x + y = -11

(4) Rewrite the following equation as slope intercept form

3y = 4x  - 7

(5) Rewrite the following equation as slope intercept form

x - 4y = 8

(6) Rewrite the following equation as slope intercept form

8x + 2y - 1 = 0

(7) Rewrite the following equation as slope intercept form

3y - 2x + 9 = 0

(8) Rewrite the following equation as slope intercept form

y - 4 = -3(x - 3)

(9) Rewrite the following equation as slope intercept form

y - 8 = (-1/2)(x + 4)

(10) Rewrite the following equation as slope intercept form

6 x - 2 y - 10 = 0

Problem 1 :

Rewrite the following equation as slope intercept form

8x - 4y = 20

Solution :

Subtract 8x on both sides

8x - 8x  - 2y = - 8x + 20

-2y = -8x + 20

Divide -2 on both sides

y = 4x - 10

Problem 2 :

Rewrite the following equation as slope intercept form

2x + 3y = 12

Solution :

Subtract 2x on both sides

2x - 2x + 3y  = 12 - 2x

3y = -2x + 12

Divide 3 on both sides

y = (-2/3)x + (12/3)

y = (-2/3)x + 4

Problem 3 :

Rewrite the following equation as slope intercept form

2x + y = -11

Solution :

Subtract 2x on both sides

2x - 2x + y  = -11 - 2x

y = -2x - 11

Problem 4 :

Rewrite the following equation as slope intercept form

3y = 4x  - 7

Solution :

Divide by 3 on both sides

3y/3  = 4x/3 - 7/3

y = (4/3)x + (7/3)

Problem 5 :

Rewrite the following equation as slope intercept form

x - 4y = 8

Solution :

Subtract x on both sides

x - x - 4y = 8 - x

-4y = -x + 8

Divide by -4 on both side

y = (x/4) - (8/4)

y = (1/4)x - 2

Problem 6 :

Rewrite the following equation as slope intercept form

8x + 2y - 1 = 0

Solution :

Subtract 8x on both sides

8x - 8x  + 2y - 1 = 0 - 8x

2y - 1 = -8x

Add 1 on both sides

2y - 1 + 1 = -8x + 1

2y = -8x + 1

Divide the whole equation by 2

y = -4x + (1/2)

Problem 7 :

Rewrite the following equation as slope intercept form

3y - 2x + 9 = 0

Solution : 3y = 2x + 9

Divide by 3 on both sides

y = (2/3)x + (9/3)

y = (2/3)x + 3

Problem 8 :

Rewrite the following equation as slope intercept form

y - 4 = -3(x - 3)

Solution :

y - 4 = -3x + 9

Adding +4 on both sides, we get

y- 4 + 4 = -3x + 9 + 4

y = -3x + 13

Problem 9 :

Rewrite the following equation as slope intercept form

y - 8 = (-1/2)(x + 4)

Solution :

y - 8 = (-x/2) + (-4/2)

y - 8 = (-1/2)x - 2

Add +8 on both sides

y - 8 + 8 = (-1/2)x - 2 + 8

y = (-1/2)x + 6

Problem 10 :

Rewrite the following equation as slope intercept form

6 x - 2 y - 10 = 0

Solution : Divide the whole equation by -2

-2y/(-2) = -6x/(-2) + 10/(-2)

y = 3x - 5

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