# How do you write the equation of a line in point slope form into slope intercept form given  y - 4 = 3/4(x + 8) ?

May 10, 2018

$y = \frac{3}{4} x + 10$

#### Explanation:

Let's start by distributing the $\frac{3}{4}$ to both terms on the right. Doing this, we get

$y - 4 = \frac{3}{4} x + \frac{8 \cdot 3}{4}$

$y - 4 = \frac{3}{4} x + 6$

Lastly, we can add $4$ to both sides to get

$y = \frac{3}{4} x + 10$

This equation is in the familiar slope-intercept form, $y = m x + b$ where $m$ is the slope, and $b$ is the $y$-intercept.

Hope this helps!