Question

The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14). Which shows how to find the rate of change for the function?

a) (8 - 2) / (14 - 11)
b) (14 - 11) / (8 - 2)
c) (14 - 8) / (11 - 2)
d) (11 - 2) / (14 - 8)

Answer 1

To find the rate of change for the function, calculate the slope of the line that passes through the given coordinates using the formula: slope = (change in y-coordinates) / (change in x-coordinates). The correct option to find the rate of change for the function is b) (14 - 11) / (8 - 2).

Step-by-step explanation:

To find the rate of change for the function, we need to calculate the slope of the line that passes through the given coordinates. The slope of a line can be found using the formula: slope = (change in y-coordinates) / (change in x-coordinates). In this case, the coordinates are (2, 11) and (8, 14), so the slope is given by: slope = (14 - 11) / (8 - 2) = 3 / 6 = 0.5.

Therefore, the correct option to find the rate of change for the function is b) (14 - 11) / (8 - 2).