Question

what is the slope of the line that passes through the points (-9, 10) and (-13, 13)? write your answer in simplest form.

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 $(x_1,y_1)=(-9,10)$ and $(x_2,y_2)=(-13,13)$. Substitute into the formula:
$m=\frac{13-10}{-13-(-9)}$

Step3: Simplify numerator and denominator

Calculate numerator: $13-10=3$
Calculate denominator: $-13-(-9)=-13+9=-4$
So $m=\frac{3}{-4}=-\frac{3}{4}$

Answer:

$-\frac{3}{4}$