The rate of change of y with respect to x represents the slope of the line. To find the slope, we can use the formula:
slope = (change in y)/(change in x)
Let's find the change in y by subtracting the y-coordinates of the two given points:
change in y = -4 - 6 = -10
Now, let's find the change in x by subtracting the x-coordinates of the two given points:
change in x = 7 - (-7) = 7 + 7 = 14
Finally, let's calculate the slope:
slope = (change in y)/(change in x) = -10/14 = -5/7
Therefore, the rate of change of y with respect to x for this line is -5/7.
The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x for this line -7,6 7,-4
3/7
2/3
-7/5
-5/7
1 answer