Question

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x for this line -7,6 7,-4
3/7
2/3
-7/5
-5/7

Answer 1

The rate of change of y with respect to x represents the slope of the line. To find the slope, we can use the formula:

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

Let's find the change in y by subtracting the y-coordinates of the two given points:

change in y = -4 - 6 = -10

Now, let's find the change in x by subtracting the x-coordinates of the two given points:

change in x = 7 - (-7) = 7 + 7 = 14

Finally, let's calculate the slope:

slope = (change in y)/(change in x) = -10/14 = -5/7

Therefore, the rate of change of y with respect to x for this line is -5/7.