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{}{}
change in y - values change in x - values

Explanation:

Step1: Identify slope components

Slope equals $\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}$

Step2: Define coordinate differences

For points $A(2,8)$ and $B(6,3)$:
Change in $y$-values: $3 - 8$
Change in $x$-values: $6 - 2$

Step3: Substitute into slope formula

$\text{Slope} = \frac{3 - 8}{6 - 2}$

Answer:

$\boldsymbol{\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}}}$ (or calculated as $\boldsymbol{\frac{3 - 8}{6 - 2} = -\frac{5}{4}}$)