Question

What is the slope of y-9=-2(x-8)

Answer 1

Hey!

Let's write the problem: $y-9=-2\left(x-8\right)$
We have to isolate for y.
$y-9=-2\left(x-8\right)$
Apply the distributive property.
$y-9=-2x+16$
Add 9 to both sides.
$y-9+9=-2x+16+9$
$y=-2x+25$
A line equation is on the form of $y=mx+b$. The $m$ represents the slope. So, our answer would be:
$m=-2$

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish

Answer 2

y - 9 = -2(x - 8)

To find the slope, we must first simplify this equation, then turn it into the slope-intercept form :)

So, simplify.

y - 9 = -2x + 16

Remember : Slope-intercept form ~ y = mx+b

Where m = slope, and b = y-intercept

So, now we must add 9 to both sides.

y = -2x + 16 + 9

Simplify.

y = -2x + 25

Since (-2) is in the (m) spot, and m = slope, then -2 is our slope.

Slope = -2

~Hope I helped!~