Question

The graph of a linear function is shown on the grid.Y(-3, 3.6(5,2)XYo -2What is the rate of change of y with respect to x for this function?Choose the grid that is labeled and bubbled with the correct answer.

Answer 1

In this case, the rate of change of y with respect to x for this linear function is -0.2.

Step-by-step explanation:

To determine the rate of change of y with respect to x for a linear function, we need to find the slope of the line. The slope represents how much y changes for every 1 unit change in x.

Given the points (-3, 3.6) and (5, 2) on the graph, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

First, let's find the change in y:

change in y = 2 - 3.6 = -1.6

Next, let's find the change in x:

change in x = 5 - (-3) = 8

Now, we can calculate the slope:

slope = (-1.6) / 8 = -0.2

Therefore, the rate of change of y with respect to x for this linear function is -0.2.

Answer 2

(x, y) = (-3, 3.6); (5, 2)

Slope (m) = (y2 - y1) / (x2 - x1)

m = (2 - 3.6) / (5 - - 3) = - 1.6/8

m = -0.2