# How do you write the equation of a line in point slope form into slope intercept form given y - 3 = 1/2(x + 6) ?

May 5, 2015

Slope-intercept form is
$y = m x + b$
where $m$ is the slope and $b$ is the y-intercept

Given the equation
$y - 3 = \frac{1}{2} \left(x + 6\right)$
(in slope point form)

Rearrange
$y - 3 = \frac{1}{2} x + 3$

$y = \frac{1}{2} x + 6$
in slope intercept form (with a slope of $\frac{1}{2}$ and a y-intercept of $6$