# How do you find the slope and intercept of 4x-7y=21?

Sep 6, 2017

see below.

#### Explanation:

When a linear equation is arranged in the form:

$y = \textcolor{b l u e}{m} x + \textcolor{b l u e}{c}$

$\textcolor{b l u e}{m}$ is the gradient(slope) and $\textcolor{b l u e}{c}$ is the $y$ axis intercept.

$4 x - 7 y = 21$

Subtract $4 x$ from both sides: $- 7 y = - 4 x + 21$

Divide by $- 7$

$y = \frac{4}{7} x - 3$

$\textcolor{b l u e}{m} = \frac{4}{7}$

$\textcolor{b l u e}{c} = - 3$