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).
7/2 is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
2/7 is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
7/2 can be used to find the unit rate if one divides 7 by 2 and compares the result to 1.
2/7 can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.

Answer 1

7/2 is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.

Explanation:

7/2 is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.

See the attached graph.

going from (2,7) to (4,14):

Change in y = 14 - 7 = 7

Change in x = 4 - 2 = 2

Slope = (Change in y)/(Change in x) = (7/2)

The equation for this line is y = (7/2)x

b, the y-intercept in y = mx + b, is zero. (m is the slope)

y = (7/2)x + 0

y = (7/2)x