The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. the coordiantes are -3,6 and 7,-4 What is the rate of change of `y` with respect to `x` for this line?Responses 3/7 2/3 -7/5 -5/7
The rate of change of `y` with respect to `x` can be found by taking the difference in `y` coordinates and dividing it by the difference in `x` coordinates.
Difference in y coordinates: 6 - (-4) = 10
Difference in x coordinates: -3 - 7 = -10
So, the rate of change of `y` with respect to `x` is:
10 / -10 = -1
Therefore, the correct response is: -1.