# How do you write the slope-intercept equation of a line with slope -1/2 passing through point (-3,-5)?

Jul 19, 2016

$y = - \frac{1}{2} x - \frac{13}{2}$

#### Explanation:

Given -

Slope $m = - \frac{1}{2}$

$x = - 3$
$y = - 5$
The slope and intercept form of equation is given by -
$y = m x + c$

We have $x , y , m$
We have to find $c$

$\left(- \frac{1}{2}\right) \left(- 3\right) + c = - 5$
$\frac{3}{2} + c = - 5$
$c = - 5 - \frac{3}{2} = \frac{- 10 - 3}{2} = \frac{- 13}{2}$

The equation is-

$y = - \frac{1}{2} x - \frac{13}{2}$