Question

now, use the distances you found on your slope triangle to write an expression to represent the slope of line b. that’s the same as the \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) from (4, 2) to (x, y).
expression for slope of line b = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) = \\(\frac{\square}{\square}\\)

Explanation:

Step1: Identify vertical distance

The vertical distance between $(4,2)$ and $(x,y)$ is $y-2$.

Step2: Identify horizontal distance

The horizontal distance between $(4,2)$ and $(x,y)$ is $x-4$.

Step3: Define slope as ratio

Slope equals vertical distance over horizontal distance.

Answer:

$\frac{y-2}{x-4}$