Question

samara started drumming lessons and learns 4 songs each month. lets break this down. to find the slope of line m, you need to find the change in horizontal distance for a given change in horizontal distance. start by finding the change in horizontal distance from point (7, 28) to point (9, 36) or the change in the number of months from 7 to 9. slope = \frac{vertical distance}{horizontal distance}

Explanation:

Step1: Calculate horizontal change

$\Delta x = 9 - 7 = 2$

Step2: Calculate vertical change

$\Delta y = 36 - 28 = 8$

Step3: Compute slope via ratio

$\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{8}{2}$

Answer:

$4$