Question

What is the slope of the line What is the slope of the line through (−7,−8) and (0,4)?

Your answer must be exact.

Answer 1

4--8
0--7. they cancel to addition so the slope is 12
-----
-7

Answer 2

`\huge \boxed{(12)/(7)}\checkmark`

Explanation:

The slope formula is

`\displaystyle (y_2-y_1)/(x_2-x_1)`

`\displaystyle y_2=4\\\displaystyle y_1=(-8)\\\displaystyle x_2=0\\\displaystyle x_1=(-7)\\`

`\displaystyle (4-(-8))/(0-(-7))=(4+8)/(0+7)=(12)/(7)`

Therefore, the slope is
`\huge \boxed{(12)/(7)}`, which is our answer.