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) 7/9B)-7/9C) 3/4D)-3/4

Okay, here we have this:
We need to find the slope of the function:
We are going to use the equation with two points (-4, 7), (4,1):
m=(1-7)/(4-(-4))=-6/8=-3/4
Finally we obtain that the correct answer is the option D.