# How do you write the equation in point slope form given (4,-8); m=3?

Mar 17, 2016

$y = 3 x - 20$

#### Explanation:

The standard form for a straight line is $y = m x + c$ where $m$ is the slope.
Given the slope as $m = 3$ and a point $\left(4 , - 8\right)$, $c$ can be calculated.
$- 8 = 3 \cdot 4 + c$
$c = - 8 - 12 = - 20$

Thus the equation is $y = 3 x - 20$