Question

what is the slope of the line that passes through the points (-4, -10) and (-7, -19)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points

Let $(x_1,y_1)=(-4,-10)$ and $(x_2,y_2)=(-7,-19)$.

Step3: Substitute values

$m=\frac{-19-(-10)}{-7 - (-4)}$.

Step4: Simplify the numerator and denominator

The numerator $-19-(-10)=-19 + 10=-9$. The denominator $-7-(-4)=-7 + 4=-3$.

Step5: Calculate the slope

$m=\frac{-9}{-3}=3$.

Answer:

$3$