Question

What is the slope of the line that passes through the points (-6, -8)(−6,−8) and (-14, 4) ?(−14,4)? Write your answer in simplest form.

Answer 1

`\huge\boxed{slope=-(3)/(2)}`

Explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have two points (-6, -8) and (-14, 4).

Substitute

`x_1=-6,\ y_1=-8,\ x_2=-14,\ y_2=4`

`m=(4-(-8))/(-14-(-6))=(4+8)/(-14+6)=(12)/(-8)=-(12:4)/(8:2)=-(3)/(2)`