Question

write a slope - intercept equation for a line that passes through (-2,5) and (4, - 13). the slope of the given line is m = \square (simplify your answer. type an integer or a simplified fraction.)

Explanation:

Step1: Calculate slope using formula

The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(-2,5)$ as $(x_1,y_1)$ and $(4,-13)$ as $(x_2,y_2)$:
$m=\frac{-13-5}{4-(-2)}$

Step2: Simplify the expression

First compute numerator and denominator:
$m=\frac{-18}{6}=-3$

Answer:

$-3$