Question

use the coordinates of points a and b to write an expression to represent the slope of the line. point a: (-4, 6) point b: (5, 3) slope = \frac{vertical distance}{horizontal distance} = \frac{\square - \square}{\square - \square}

Explanation:

Step1: Recall slope formula

Slope = $\frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1),(x_2,y_2)$

Step2: Assign coordinates

Let $(x_1,y_1)=(-4,6)$, $(x_2,y_2)=(5,3)$

Step3: Substitute values

Slope = $\frac{3 - 6}{5 - (-4)}$

Answer:

$\frac{3 - 6}{5 - (-4)}$