Does the graph below represent a proportional relationship? ———————————————

A. Yes, because the graph is a straight line

B. No, because it crosses the y -axis

C. Yes, because it crosses the y -axis

D. No, because the line doesn't pass through the origin, point (0,0)

 D. No, because the line doesn't pass through the origin, point (0,0)

Explanation:

A direct proportional graph is always a straight line through the origin.

Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.

We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.

Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's not a direct proportion.