Question

what is the slope of the line that passes through (2, -3) and (-2, 10)? answer should be in simplest form. the slope of the line is \boxed{}

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 point values

Let $(x_1,y_1)=(2,-3)$ and $(x_2,y_2)=(-2,10)$.

Step3: Substitute into formula

$m=\frac{10-(-3)}{-2-2}=\frac{10+3}{-4}=\frac{13}{-4}$

Step4: Simplify the fraction

$m=-\frac{13}{4}$

Answer:

$-\frac{13}{4}$