# What is the equation of a line that has a slope of 1/2 and passes through (-8, -5)?

Dec 15, 2015

$\textcolor{w h i t e}{\times} y = \frac{1}{2} x + 1$

#### Explanation:

$\textcolor{w h i t e}{\times} y = m x + c$
$\textcolor{w h i t e}{\times x} = \textcolor{red}{\frac{1}{2}} x + c$

For $x = - 8$ and $y = - 5$,
$\implies - 5 = \frac{1}{2} \left(- 8\right) + c$
$\implies c = 1$

$\implies y = \frac{1}{2} x + \textcolor{red}{1}$