What is the slope intercept form of the line passing through $(12,7)$ with a slope of $-1/5$ ?

Question

1888 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-23T08:31:19

$y=-1/5x+47/5$

Given
Slope $-1/5$
Point $(12,7)$

The slope-point form of the line given slope $m$ and point $(x_1,y_1)$ is

$y-y_1=m(x-x_1)$

Let us plug in the given values

$y-7=-1/5(x-12)$

Remember this is not what we need. We need the equation to be in slope intercept form.

The slope intercept form : $y=mx+b$ where $m$ is the slope and $b$ is the $y-$ intercept.

We now have to simplify our equation from slope point form to get our answer.
$y-7=-1/5x + 12/5$ $quad$ distributing $-1/5$
Adding 7 to both the side

$y=-1/5x +12/5+7$

$y=-1/5x+ 47/5$ answer.

What is the slope intercept form of the line passing through (12,7) (12,7) with a slope of -1/5 -1/5 ?