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Slope-Intercept Form

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: $\quad 3x+4y = 12$

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 = = $(\frac{-3}{4})x + (\frac{12}{4})$

$y = (\frac{-3}{4})x + 3$

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