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

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Answer 1 · 2017-03-01T16:24:26

The slope is $m=4/5$ and the y-intercept is $b=-4$ .

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

To do this, rearrange the equation

$4x-5y=20$
$4x=20+5y$
$4x-20=5y$
$1/5(4x-20)=y$
$y=4/5x-4$

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

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

What is the slope and y-intercept of the line 4x-5y=204x-5y=20?