# CONVERT STANDARD FORM TO SLOPE INTERCEPT FORM

## Standard Form

The linear equation in two variables in standard form will be

ax + by + c = 0

a = coefficient of x

b = coefficient of y

c = constant

## Slope Intercept Form

The linear equation in two variables in slope intercept form will be

y = mx + b

m = slope

b = y-intercept

Convert the following equations from standard to slope-intercept form.

Problem 1:

Standard form: 10x - 7y = -8

Slope-intercept form: ______

Solution:

10x - 7y = -8

Subtract 10x from each side.

-7y = -10x - 8

Divide each side by -7.

y = (-10x - 8)/-7

y = 10/7x + 8/7

Problem 2:

Standard form: 8x + y = 9

Slope-intercept form: ______

Solution:

8x + y = 9

Subtract 8x from each side.

y = -8x + 9

Problem 3:

Standard form: x + 6y = -2

Slope-intercept form: ______

Solution:

x + 6y = -2

Subtract x from each side.

6y = -x - 2

Divide each side by 6.

y = (-x - 2)/6

y = -1/6x - 2/6

y = -1/6x - 1/3

Problem 4:

Standard form: 4x + 3y = 9

Slope-intercept form: ______

Solution:

4x + 3y = 9

Subtract 4x from each side.

3y = -4x + 9

Divide each side by 3.

y = (-4x + 9)/3

y = -4/3x + 9/3

y = -4/3x + 3

Problem 5:

Standard form: 3x + 12y = -8

Slope-intercept form: ______

Solution:

3x + 12y = -8

Subtract 3x from each side.

12y = -3x - 8

Divide each side by 12.

y = (-3x - 8)/12

y = -3/12x - 8/12

y = -1/4x - 2/3

Problem 6:

Standard form: x + 2y = -8

Slope-intercept form: ______

Solution:

x + 2y = -8

Subtract x from each side.

2y = -x - 8

Divide each side by 2.

y = (-x - 8)/2

y = -1/2x - 8/2

y = -1/2x - 4

Problem 7:

Standard form: 11x - 8y = 3

Slope-intercept form: ______

Solution:

11x - 8y = 3

Subtract 11x from each side.

-8y = -11x + 3

Divide each side by -8.

y = (-11x + 3)/-8

y = 11/8x - 3/8

Problem 8 :

Standard form: 4x + 5y = 4

Slope-intercept form: ______

Solution :

4x + 5y = 4

Subtract 4x from each side.

5y = -4x + 4

Divide each side by 5.

y = (-4x + 4)/5

y = -4/5x + 4/5

Problem 9 :

Standard form: 10x - 12y = -4

Slope-intercept form: ______

Solution :

10x - 12y = -4

Subtract 10x from each side.

-12y = -10x - 4

Divide each side by -12.

y = (-10x - 4)/-12

y = 10/12x + 4/12

y = 5/6x + 1/3

Problem 10 :

Standard form: 3x - y = 9

Slope-intercept form: ______

Solution :

3x - y = 9

Subtract 3x from each side.

-y = -3x + 9

Multiply each side by-1.

y = 3x - 9

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