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

Answer:

$\huge\boxed{slope=-\dfrac{3}{2}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Substitute

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

$m=\dfrac{4-(-8)}{-14-(-6)}=\dfrac{4+8}{-14+6}=\dfrac{12}{-8}=-\dfrac{12:4}{8:2}=-\dfrac{3}{2}$