Question

what is the slope of this line? (-6, 0) (-3, -3) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the two points

We have the points $(-6,0)$ and $(-3,-3)$. Let $(x_1,y_1)=(-6,0)$ and $(x_2,y_2)=(-3,-3)$.

Step3: Substitute values into formula

$m=\frac{-3 - 0}{-3-(-6)}$.

Step4: Simplify the expression

First, simplify the numerator: $-3 - 0=-3$. Then simplify the denominator: $-3-(-6)=-3 + 6=3$. So $m=\frac{-3}{3}=-1$.

Answer:

$-1$