# What is the slope of the line y-4 = 1/4(x+2)?

##### 1 Answer
Jan 2, 2016

$m = \frac{1}{4}$

#### Explanation:

The equation of the line in slope-intercept form is

$y = m x + b$

Arrange your equation to match that form

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

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

$y = \frac{1}{4} x + \frac{9}{2}$

Compare this with the slope-intercept form to get

$\text{slope} = m = \frac{1}{4}$