what is the slope of the line that passes through the points (-4, -7) and (-2, -19)? write your answer in…

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-4,-7)$ and $(x_2,y_2)=(-2,-19)$.

Step3: Substitute values into formula

$m=\frac{-19-(-7)}{-2 - (-4)}$.

Step4: Simplify numerator and denominator

The numerator $-19-(-7)=-19 + 7=-12$, and the denominator $-2-(-4)=-2 + 4 = 2$. So $m=\frac{-12}{2}$.

Step5: Reduce the fraction

$\frac{-12}{2}=-6$.

Answer:

$-6$