# How do you find the slope given 3x+4y=22?

May 23, 2018

$- \frac{3}{4}$

#### Explanation:

To determine the slope, we need to put this business in slope-intercept form, that is, $y = m x + b$. Let's start by subtracting $3 x$ from both sides. We get

$4 y = - 3 x + 22$

Lastly, we can divide everything by $4$ to get

$y = - \frac{3}{4} x + \frac{11}{2}$

Our slope is given by the coefficient of $x$, thus the slope is

$- \frac{3}{4}$

Hope this helps!