# How do you find the slope given 4x+3y=24?

Nov 29, 2015

The slope of this equation can be solved by the slope-intercept form; y = mx + b. where m is the slope

#### Explanation:

Given Equation: 4x + 3y = 24

Reaarange the equation to follow the slope-intercept form
y = mx + b

Isolate y and simplify:

4x + 3y = 24
3y = - 4x + 24
y = $\frac{- 4 x + 24}{3}$
y = $- \frac{4 x}{3}$ + 8, this follows the slope- intercept form where
m is equal to $- \frac{4}{3}$