SOLUTION: How are the graphs of the linear functions f(x) = x, k(x) = 3/4x, and t(x) = 4/3x the same? How are they different?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: How are the graphs of the linear functions f(x) = x, k(x) = 3/4x, and t(x) = 4/3x the same? How are they different?       Log On


   

Question 1026839: How are the graphs of the linear functions f(x) = x, k(x) = 3/4x, and t(x) = 4/3x the same? How are they different?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The graphs of the linear functions f%28x%29+=+x, k%28x%29+=+%283%2F4%29x, and t%28x%29+=+%284%2F3%29x are all increasing from left to right, due to the fact that their slopes are all positive. They also have the same y-intercept of 0 (the origin).
The graphs differ only in their rates of increase, because of the differences in slopes. t(x) rises the fastest, followed by f(x), and lastly, k(x).