(will give brainliest) which graph represents a function with direct variation?

the last picture.

Justification:

Direct variation means that the ratio of the variables is constant, i.e. y / x = k or, equivalently, y = kx.

In other words, the variables y and x vary proportionally, such that in x grow, y grows in the same proportion and quotient y/x remains constant.

That means that the graph of a function with direct variation has these features:

It is a straight line: because the slope is the ratio y/x = kIt passes through the origin (0,0): because y = kx = k (0) = 0.

Since the only graph that is passing through the origin (0,0) is the last graph, it is the only graph that represents a function with a direct variation.

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