Question

what is the slope of this line? (-4, -4) (0, -6) simplify your answer and write it as a proper fraction, improper fraction

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 $(-4,-4)$ and $(0,-6)$. Let $(x_1,y_1)=(-4,-4)$ and $(x_2,y_2)=(0,-6)$.

Step3: Substitute into formula

$m=\frac{-6-(-4)}{0 - (-4)}=\frac{-6 + 4}{0+4}=\frac{-2}{4}=-\frac{1}{2}$

Answer:

$-\frac{1}{2}$