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 -4,7 What is the rate of change of `y` with respect to `x` for this line?3/7 2/3 -7/5 -5/7
To find the rate of change of y with respect to x, we need to determine the slope of the line.
Using the coordinates (-3,6) and (-4,7), we can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values, we have:
m = (7 - 6) / (-4 - (-3))
m = 1 / (-4 + 3)
m = 1 / -1
m = -1
Therefore, the rate of change of y with respect to x for this line is -1.