# What is the slope-intercept form of the equation that goes through (-3,4) and has a slope of -4/3?

Mar 30, 2017

The answer is $y = - \frac{4}{3} x$

#### Explanation:

$y = m x + b$

where

$m = - \frac{4}{3}$ and using $P \left(- 3 , 4\right)$

Sub in the point and the slope into the equation.

$4 = - \frac{4}{3} \times \left(- 3\right) + b$

$4 = 4 + b$

$b = 0$

Therefore

$y = - \frac{4}{3} x$