The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio where k is the constant of variation.
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The slope of the graph of a direct variation is always positive.
No.
Positive or Negative........I think...
k is the constant of variation and is the gradient (slope) of the relevant graph.
Graphs of direct variation pass through the origin so the y-intercept would be 0.