Question

find the slope between the given points 8. (-4, -1) and (-2, -5)

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 $(x_1,y_1)=(-4,-1)$ and $(x_2,y_2)=(-2,-5)$. Substitute into formula:
$m=\frac{-5 - (-1)}{-2 - (-4)}$

Step3: Simplify numerator and denominator

Numerator: $-5 - (-1) = -5 + 1 = -4$
Denominator: $-2 - (-4) = -2 + 4 = 2$
$m=\frac{-4}{2}$

Step4: Calculate final slope

$m=-2$

Answer:

$-2$