Explain why the graph below does not represent a direct variation

C. The line does not go through the origin.

Step-by-step explanation:

We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).

Now we need to decide why that graph doesn't represent a direct variation.

We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.

Correct choice is :

C. The line does not go through the origin.

C

Step-by-step explanation: If a function has a y-intercept of 0, then it is an example of direct variation. Therefore, this line is not an example of direct variation because it's y-intercept is not 0 which means it doesn't pass through the origin which is the point where the two axes meet.

a = 11 : 4

b = 38

c = 1 for every 6

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