# How do you write an equation in point slope form that passes through (4,-8) with slope 3?

Mar 12, 2018

$y + 8 = 3 \left(x - 4\right)$

#### Explanation:

The point-slope form of a linear equation is:

$y - {y}_{1} = m \left(x - {x}_{1}\right) ,$

where:

$m$ is the slope $\left(3\right)$, and $\left({x}_{1} , {y}_{1}\right)$ is the point $\left(4 , - 8\right)$.

Plug in the known values.

$y - \left(- 8\right) = 3 \left(x - 4\right)$

Simplify.

$y + 8 = 3 \left(x - 4\right)$