# How do you find the slope given 4x-5y=20?

Feb 9, 2016

slope $= \frac{4}{5}$

#### Explanation:

the equation of a line in the form y = mx + c , where m , represents the gradient (slope) and c , the y-intercept , allows m and c to be extracted quite 'easily'.

rearrange 4x -5y = 20 into the form y = mx + c

hence 5y = 4x - 20

divide both sides by 5

$y = \frac{4}{5} x - 4 \Rightarrow m = \frac{4}{5}$