# How do you write 5x-4y=8 in slope intercept form?

Apr 7, 2018

$- y = - \frac{5}{4} x + 2$

#### Explanation:

Slope-intercept form looks like this:

$y = m x + b$

$\text{m = slope}$
$\text{b = y-intercept}$

So we'll just rearrange your current equation to be in slope-intercept form.

$5 x - 4 y = 8$

$- 4 y = - 5 x + 8$

$- y = - \frac{5}{4} x + 2$

Now I'm going to multiply the whole equation by $- 1$, because I don't want $y$ to be negative. This will change the sign of all the parts.

$y = \frac{5}{4} x - 2$

graph{y = 5/4x - 2 [-12.66, 12.65, -6.33, 6.33]}