# What is the slope intercept form of the line passing through (-2,7)  with a slope of 1/2 ?

Feb 7, 2016

$y = \frac{1}{2} x + 8$

#### Explanation:

Start with the slope-point form: $\left(y - \overline{y}\right) = m \left(x - \overline{x}\right)$
$\textcolor{w h i t e}{\text{XXX}} \left(y - 7\right) = \left(\frac{1}{2}\right) \left(x - \left(- 2\right)\right)$
or, simplified as
$\textcolor{w h i t e}{\text{XXX}} y - 7 = \frac{1}{2} x + 1$

To convert to slope-intercept form: $y = m x + b$
Add $7$ to both sides
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{2} x + 8$