# How do you write an equation of a line given point (-2,5/2) and slope -1/2?

Jul 11, 2016

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

#### Explanation:

You can use the general equation:

$y - {y}_{0} = m \left(x - {x}_{0}\right)$

where the point $\left({x}_{0} , {y}_{0}\right)$ will be substituted by $\left(- 2 , \frac{5}{2}\right)$
and m is the slope $- \frac{1}{2}$

$y - \frac{5}{2} = - \frac{1}{2} \left(x + 2\right)$
$y = - \frac{1}{2} x - 1 + \frac{5}{2}$
$y = - \frac{1}{2} x + \frac{3}{2}$