Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

Question

anonymous · Answer

I have, 3 more of these. I just need a bit of help.

kmeis002 · Answer

Are there statements or are you expected to write one?

anonymous · Answer

Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function? 
 It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.  It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line. It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.  It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

kmeis002 · Answer

It is indeed a linear function, but now you have to verify which sets of points fall on that line (hint, check them via the equation)

anonymous · Answer

Okay. That makes sence. I have 2 more. 
Which of the following has a graph that is a straight line?
 Equation 1: y = 4x3 + 6 Equation 2: y = 5x − 4.5 Equation 3: y2 = x − 1 Equation 4: y = 2x2 + 6
Thanks for your help again. :)

kmeis002 · Answer

A line has the general form of $ y = mx+b$ (point slope).

anonymous · Answer

Okay, So I wasn't sure how to find if it was a straight line or not. :(