Answer: B and E
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)