Question

what is the slope of this line? (0, 24) (-6, -12) 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 $(x_1,y_1)=(-6,-12)$ and $(x_2,y_2)=(0,24)$.

Step3: Substitute values

$m=\frac{24-(-12)}{0 - (-6)}=\frac{24 + 12}{0+6}$.

Step4: Simplify

$\frac{24 + 12}{0+6}=\frac{36}{6}=6$.

Answer:

$6$