Question

diego is painting the walls of his house. he paints 8 square meters every hour. the graph shows the number of square meters of the house he paints over time. find the slope of this line. to find the slope, start by finding the change in vertical and horizontal distance from (2, 16) to (5, 40). label the change in vertical distance and horizontal distance on the slope triangle below. slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\)

Explanation:

Step1: Calculate horizontal change

Subtract x-values: $5 - 2 = 3$

Step2: Calculate vertical change

Subtract y-values: $40 - 16 = 24$

Step3: Compute slope via ratio

$\text{slope} = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{24}{3} = 8$

Answer:

Horizontal distance (bottom box): 3
Vertical distance (top box): 24
Slope of the line: 8