Question

use the slope formula to find the slope of the line through the points $p_1$ and $p_2$.
$p_1 = (7, -3)$
$p_2 = (-4, 5)$
slope

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: Identify coordinates

For \( p_1=(7, - 3) \), \( x_1 = 7 \), \( y_1=-3 \); for \( p_2=(-4,5) \), \( x_2=-4 \), \( y_2 = 5 \).

Step3: Substitute into formula

Substitute values into \( m=\frac{y_2 - y_1}{x_2 - x_1} \): \( m=\frac{5-(-3)}{-4 - 7}=\frac{5 + 3}{-11}=\frac{8}{-11}=-\frac{8}{11} \).

Answer:

\(-\frac{8}{11}\)