Question

start by writing an expression that would represent the slope of line d, or the change in vertical distance for a given change in horizontal distance.
slope = \frac{vertical distance}{horizontal distance}
= \frac{\boxed{}}{\boxed{}}
change in y - values change in x - values

Explanation:

Step1: Identify vertical/horizontal changes

Vertical change = change in y-values: $3 - 8$
Horizontal change = change in x-values: $6 - 2$

Step2: Substitute into slope formula

Slope = $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{3-8}{6-2}$

Step3: Calculate the values

$\frac{3-8}{6-2} = \frac{-5}{4}$

Answer:

Slope = $\boldsymbol{\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{-5}{4}}$