what is the slope of the line that passes through the points $(8, -6)$ and $(11, -12)$? write your answer in…

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(8,-6)$ and $(x_2,y_2)=(11,-12)$. Substitute into formula: $m=\frac{-12-(-6)}{11-8}$

Step3: Simplify numerator and denominator

Calculate numerator: $-12-(-6)=-12+6=-6$ Calculate denominator: $11-8=3$ So $m=\frac{-6}{3}$

Step4: Reduce fraction to simplest form

$\frac{-6}{3}=-2$

Answer:

$-2$