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 $(-4,3)$ and $(0, - 3)$. Let $(x_1,y_1)=(-4,3)$ and $(x_2,y_2)=(0,-3)$.

Step3: Substitute into formula

$m=\frac{-3 - 3}{0-(-4)}=\frac{-6}{4}$.

Step4: Simplify the fraction

$m =-\frac{3}{2}$.

Answer:

$-\frac{3}{2}$