Question

now, 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 y-values of points

Points A(4,2) and B(8,4). Y-values: 4 (B), 2 (A).

Step2: Identify x-values of points

X-values: 8 (B), 4 (A).

Step3: Form the slope expression

Slope = (change in y) / (change in x) = (4 - 2)/(8 - 4).

Answer:

$\frac{4 - 2}{8 - 4}$ (or filling the boxes as 4, 2, 8, 4 in order)