Rational Functions: Direct and Inverse Variation

Graphs of Direct Variation Equations

You may have noticed that direct variation equations look linear. Good observation--they are. This makes sense when we think that if y increases then x also increases at a constant rate.

If we analyze the equation of y = kx more we see that the y-intercept would be zero. Look at the following graphs of 3 different direct-variation equations. Make sure that you can identify a direct variation equation given its graph.

Graphs of y equals negative three x, y equal two x and y equals x
Graphs of Direct Variation Equations