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

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Identify given points

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

Step3: Substitute into slope formula

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

Answer:

$\frac{-4}{3}$