The graph of a linear function is shown on the grid.
Which value best represents the rate of change of y with respect to x for this function?
(A) -(2)/(3)
(B) (3)/(2)
(c) (2)/(3)
(D) -(3)/(2)
The rate of change of y with respect to x for a linear function is equal to the slope of the line.
Looking at the graph, we can see that for every increase of 3 in the x-coordinate, the y-coordinate decreases by 2. Therefore, the slope of the line is (change in y)/(change in x) = -2/3.
So, the correct answer is (A) -2/3.