Question

The graph of a linear function is shown on the grid What is the rate of change of y with respect to x for this function?A. 0.4B. 2.5C. 5D. 12.5

Answer 1

The rate of change of y with respect to x for this function can be seen as the slope of the line that passes through the 2 points shown in the graph. So that, if you take (5.5,2) as P1 and (-7,-3) as P2, you have.

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-3-2)/(-7-5.5) \\ m=(-5)/(-12.5) \\ m=0.4 \end{gathered}`

Therefore, the rate of change of y with respect to x for this function is 0.4.