Question

Does the graph below represent a proportional relationship?

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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)

Answer 1

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

Step-by-step 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.

Answer 2

The answer is A.
The reason being straight lines mean equal proportions, while curved lines are exponential or quadratic.