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{vertical distance}{horizontal distance}

Explanation:

Step1: Calculate horizontal distance

$\Delta x = 5 - 2 = 3$

Step2: Calculate vertical distance

$\Delta y = 40 - 16 = 24$

Step3: Compute slope via ratio

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{24}{3}$

Step4: Simplify the fraction

$\frac{24}{3} = 8$

Answer:

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