Question

what is the slope of this line? (-9, 0) (9, -12) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(-9,0)$ and $(9,-12)$. Let $(x_1,y_1)=(-9,0)$ and $(x_2,y_2)=(9,-12)$.

Step3: Substitute into formula

$m=\frac{-12 - 0}{9-(-9)}=\frac{-12}{9 + 9}=\frac{-12}{18}$.

Step4: Simplify the fraction

$\frac{-12}{18}=-\frac{2}{3}$.

Answer:

$-\frac{2}{3}$