What is the slope and y-intercept of the line 4x-5y=20?

Mar 1, 2017

The slope is $m = \frac{4}{5}$ and the y-intercept is $b = - 4$.

Explanation:

The slope and y-intercepts are most easily found when you put the equation in the form $y = m x + b$, where $m$ is the slope an $b$ is the y-intercept.

To do this, rearrange the equation

$4 x - 5 y = 20$
$4 x = 20 + 5 y$
$4 x - 20 = 5 y$
$\frac{1}{5} \left(4 x - 20\right) = y$
$y = \frac{4}{5} x - 4$

Now we can simply read off from our new equation the values $m = \frac{4}{5}$ and $b = - 4$.

($b$ is sometimes called $c$, but I prefer calling it $b$ because it sounds nicer.)