# What is the equation of the line with slope # m= -2# that passes through # (5,-8) #?

##### 1 Answer

Nov 17, 2015

I assume you are using slope-intercept form.

#### Explanation:

Slope-Intercept form looks like this: *y=mx+b*, and since we already know the slope and m is the slope's value, we plug in the slope for m. Our equation now looks like:

y=-2x+b.

All we have to do now is find the value of b (the y-intercept.) In the final equation y will be left as y and x as x.

To find b we plug in the coordinate. -8 for y and 5 for x.

So,

-8=-2(5)+b

-8=-10+b

2=b

Now that we have the b value we are almost done. All we need to do is write out our final equation. Plug in 2 for b and -2 for m and you should get:

y=-2x+2

Hope this helps!