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(2,3) and B(4,6): $y_2=6$, $y_1=3$

Step2: Identify x-values of points

Points A(2,3) and B(4,6): $x_2=4$, $x_1=2$

Step3: Substitute into slope formula

Slope = $\frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$

Answer:

$\boldsymbol{\frac{6-3}{4-2}}$