Question

What do the differences between the points (as shown on the graph) represent?

On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
StartFraction 7 over 2 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
StartFraction 2 over 7 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1.
StartFraction 2 over 7 EndFraction can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.

Answer 1

The differences represent the slope (rate of change): Δx = 4 − 2 = 2 and Δy = 14 − 7 = 7, so the unit rate (change in y per 1 change in x) is 7/2 = 3.5.

So the correct choice is: "7/2 is the unit rate because it compares the change in y-values to the change in x-values." (Dividing 7 by 2 gives the per‑1 rate.)