Standard Form to Slope Intercept Form

How to convert from Ax + By = C to y = mx +b

How to convert a Line from standard form to slope intercept , as demonstrated by the pictures below.

General Formula Slope Intercept Form

Video Tutorial on Converting Equation

Example of Converting from Standard Form

to Slope Intercept

Example

Convert 3x + 5y = 15, graphed below, to slope intercept form.

Diagram of slope intercept form of line
Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Use our Calculator

You can use the calculator below to find the equation of a line from any two points. Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in standard and slope intercept forms.

(x1,y1) ,
(x2,y2) ,
Clear
Toggle Points
loading and calculating...

Answer:
$ $

( Try this 'equation from 2 points' calculator on its own page here . )

Clear
Toggle Points

Practice Converting Equations

Practice 1

Convert 3y − 2x = −12, graphed below, to slope intercept form.

Diagram of slope intercept form of line
Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Practice 2

Convert 4y − 5x = 20, shown below, to slope intercept form

Diagram of slope intercept form of line
Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Practice 3

Convert 2x + 3y = 18, shown below, to slope intercept form

Diagram of slope intercept form of line
Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

More challenging problems

Practice 4

Convert to y = mx + b form

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Practice 5

Convert to slope intercept form

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Practice 6

Convert to slope intercept form

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

back to slope intercept form next to link #2