Question

Which of the points A(6, 2), B(0, 0), C(3, 2), D(−12, 8), E(−12, −8) belong to the graph of direct variation y= 2/3 x?

Answer 1

Answer:

Plot the graph and the points.

You can see B, C and E belong to the graph,

Answer 2

Answer:

B, C and E.

Step-by-step explanation:

y = 2/3 x.

B(0,0) is one point because  when y = 0 ,  0 = 2/3 x giving x = 0 *3/2 = 0.

We now try to see which other points fit the equation:

A (6,2):  2 = 2/3 * 6 = 4 so it's  NOT A.

C (3,2): 2 = 2/3 * 3 = 2 So It is C.

D (-12,8) :  8 = 2/3 * -12 = -8 so its NOT D.

E. (-12,-8) -8 = 2/3 * -12 = -8 , So it is E.