Question

what is the slope of this line? (-8, -12) (8, -4) simplify your answer and write it as a proper fraction, improper fr

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 the points

Let $(x_1,y_1)=(-8,-12)$ and $(x_2,y_2)=(8,-4)$.

Step3: Substitute values into formula

$m=\frac{-4-(-12)}{8 - (-8)}$

Step4: Simplify the numerator and denominator

$m=\frac{-4 + 12}{8+8}=\frac{8}{16}$

Step5: Reduce the fraction

$m=\frac{1}{2}$

Answer:

$\frac{1}{2}$