Question

What is the slope of the line that contains the points (8, 4) and (−4, 8)?

3
−3
one third
negative one third

Answer 1

Answer: negative one third

Answer 2

-1/3

Step-by-step explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

`\sf{m=(y_2-y_1)/(x_2-x_1)}`

Plug in the data:

`\sf{m=(8-4)/(-4-8)}\\\\\sf{m=(4)/(-12)`

Simplify:

`\sf{m=-(4)/(12)}`

`\sf{m=-(1)/(3)}`

Hence, the slope is negative one-third.