Question

what is the slope of this line? (-6, -8) (2, 8) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify 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: Select two points

Let $(x_1,y_1)=(-6,-8)$ and $(x_2,y_2)=(2,8)$.

Step3: Substitute values

$m=\frac{8-(-8)}{2 - (-6)}$.

Step4: Simplify the numerator and denominator

The numerator $8-(-8)=8 + 8=16$, and the denominator $2-(-6)=2 + 6 = 8$. So $m=\frac{16}{8}$.

Step5: Reduce the fraction

$\frac{16}{8}=2$.

Answer:

$2$