Question

this graph represents the situation. first, find the slope. the slope is the change in vertical distance for a given change in horizontal distance. you can use any two points on the line to find the slope. start by writing the coordinates of the two points below on the graph. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\)

Explanation:

Step1: Identify coordinates of points

Lower point: $(2, 22)$; Upper point: $(3, 30)$

Step2: Calculate vertical change

$\Delta y = 30 - 22 = 8$

Step3: Calculate horizontal change

$\Delta x = 3 - 2 = 1$

Step4: Compute slope

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{8}{1} = 8$

Answer:

Coordinates of points: $(2, 22)$ and $(3, 30)$
Slope: $8$