# How do you find the slope and intercept of 4x+2y-5=0?

Feb 25, 2016

Rearrange the equation to get $m = - 2 , b = \frac{5}{2}$

#### Explanation:

The slope-intercept form of a line is given by

$y = m x + b$

where $m$ is the slope and $b$ is the y-intercept. Our equation needs to be rearranged into this form. We are starting with:

$4 x + 2 y - 5 = 0$

First, we'll move the $4 x$ and the constant $- 5$ to the other side (by adding $- 4 x + 5$ to both sides):

$2 y = - 4 x + 5$

Now, we divide both sides of the equation by $2$ to get $y$ all by itself:

$y = - 2 x + \frac{5}{2}$

By comparing this equation to the slope intercept form we can see that

$m = - 2 , b = \frac{5}{2}$