Which graph represents a function with direct variation?

The second graph

Step-by-step explanation:

A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

The only graph that passes through the origin is the second one.

Graphs can be used to represent several types of variation.

The graph that represents a function with a direct variation is (b)

For a graph to represent a function with direct variation, the following must be true

The only graph that satisfies the three highlights above is graph (b)

Hence, the graph that represents a function with a direct variation is (b)

Read more about graphs and variations at:

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