Slope intercept form is a representation of a line given its slope and y intercept. In the following equation, m is equal to the slope of the line and b is equal to the y intercept.

y=mx+b

**Example:**

Put the following equation in slope-intercept form:

To do this, we’ll isolate the y on one side of the equation.

3x+4y=12

~~3x-3x~~+4y=12-3x

~~(4/4)~~y = =

Therefore we know that our slope $ m = \frac{-3}{4} and our y intercept b = 3