Question

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.

Answer 1

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

Answer 2

y = xk

Answer 3

ldsjalkdgjl;asjgoaejgoaehgiaeejgjhiufhfiosafiosdfsaofdiusaoifusaoiu9eur9guhghiufuiuf7ot9h a fot9hhos