# What is the slope intercept form of the line passing through (-1,3)  with a slope of 5 ?

Dec 21, 2015

$y = 5 x + 8$

#### Explanation:

slope-point form with slope $m$ through point $\left(\overline{x} , \overline{y}\right)$
$\textcolor{w h i t e}{\text{XXX}} \left(y - \overline{y}\right) = m \left(x - \overline{x}\right)$

slope-intercept form with slope $m$ and y-intercept $b$
$\textcolor{w h i t e}{\text{XXX}} y = m x + b$

Given slope $m = 5$ and point $\left(\overline{x} , \overline{y}\right) = \left(- 1 , 3\right)$
we can write the slope point form:
$\textcolor{w h i t e}{\text{XXX}} y - 3 = 5 \left(x + 1\right)$

By expanding the right side:
$\textcolor{w h i t e}{\text{XXX}} y - 3 = 5 x + 5$
and transferring the constant to the right side:
$\textcolor{w h i t e}{\text{XXX}} y = 5 x + 8$
we can convert this into a slope-intercept form