Question

use the coordinates to write an expression you could use to find the change in vertical distance for a given change in horizontal distance.
slope = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}
= \frac{\square - \square}{\square - \square}

Explanation:

Step1: Identify coordinate pairs

Points: $A(0,9)$, $B(2,3)$

Step2: Assign to slope formula

Slope = $\frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute $y_2=3, y_1=9, x_2=2, x_1=0$

Step3: Write the expression

$\frac{3 - 9}{2 - 0}$

Answer:

$\frac{3 - 9}{2 - 0}$