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Posted by Joy on Tuesday, October 7, 2008 at 11:38pm.

Explain why the graph of an equation in the form y=kx always goes through the origin. Give an example of a graph that shows direct variation and one that does not show direct variation. I don't really get the question.

If y = kx, where k is any constant, y always equals 0 when x = 0. Therefore the origin (0,0) is on the line that is the graph of that function. y = kx shows direct variation and y = k/x does not

y = xk

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