Question

What is the slope of the line that passes through the points(−7,−2) and(−15,−14)? Write your answer in simplest form.

Answer 1

rewrite this

Answer 2

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula \[\frac{y_2-y_1}{x_2-x_1}.\] Applying this formula to our current points $(x_1, y_1)=(-7,-2)$ and $(x_2,y_2)=(-15,-14)$, we see that the slope of the line is \[\frac{-14-(-2)}{-15-(-7)}=\frac{-14+2}{-15+7}=\frac{-12}{-8}=\boxed{\frac32}.\]

Answer 3

The slope of the line passing through the points $(-7,-2)$ and $(-15,-14)$ is $\frac{3}{2}$.