Question

Which relationships have the same constant of proportionality between y and x as the following graph?

Answer 1

Answer: B and E

Step-by-step explanation:

First, find the constant for our initial graph.

It goes through the points (0,0) and (8,6)

Then the slope, or constant of proportionality is:

s = (6 - 0)/(8 - 0) = 6/8 = 3/4

So this graph is of the relation:

y = 3/4*x

Now, let's find some of the values of this relationship.

when x = 4.

y = (3/4)*4 = 3

when x = 12

y = (3/4)*12 = 9

so we have the points (4,3) and (12, 9)

Then the correct options are:

B (because the linear equation is exactly what we have found)

E (because the first two pairs of the table coincide with the points that have found)