Question

As a point moves in the positive x-direction along the line graphed, what is the rate of change of y with respect to x?

A.4/3
B.3/4
C.-4/3
D.-3/4

Answer 1

B. 3/4

Explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use
`(RISE)/(RUN)` .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.