Question

what is the slope of this line? 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 $(x_1,y_1)=(-3,-9)$ and $(x_2,y_2)=(3,9)$.

Step3: Substitute values into formula

$m=\frac{9-(-9)}{3 - (-3)}=\frac{9 + 9}{3+3}$.

Step4: Simplify the fraction

$\frac{9 + 9}{3+3}=\frac{18}{6}=3$.

Answer:

$3$