what is the slope of the line that passes through the points (-5,6) and (-9,-6)? write your answer in…

Explanation:

Step1: Recall the 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. Let $(x_1,y_1)=(-5,6)$ and $(x_2,y_2)=(-9,-6)$.

Step2: Substitute the values into the formula

Substitute $x_1=-5,y_1 = 6,x_2=-9,y_2=-6$ into the formula: $m=\frac{-6 - 6}{-9-(-5)}$.

Step3: Simplify the numerator and denominator

Simplify the numerator: $-6 - 6=-12$. Simplify the denominator: $-9-(-5)=-9 + 5=-4$. So $m=\frac{-12}{-4}$.

Step4: Reduce the fraction

$\frac{-12}{-4}=\frac{12}{4}=3$.

Answer:

$3$