# How do you write an equation of a line that passes through (-4, 2) and is parallel to the line with the equation y=1/2x+5?

Apr 23, 2018

$y = \frac{1}{2} x + 4$

#### Explanation:

The parallels all have the same slope, 1/2, so the equation is

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

We get $b = y - \frac{1}{2} x = 2 - \frac{1}{2} \left(- 4\right) = 4$

$y = \frac{1}{2} x + 4$