Question

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

Answer 1

Answer:

The correct option is:  A

Step-by-step explanation:

The given equation is:  $y= 2x-3$

If $x=0$, then $y=2(0)-3 = 0-3=-3$

If $x=1$, then $y=2(1)-3 = 2-3=-1$

If $x=2$, then $y=2(2)-3 = 4-3=1$

So, the points on the graph of the given equation are:  (0, -3), (1, -1) and (2, 1)

According to the below graph, those points are on a straight line.

Thus, the correct option will be:  A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Answer 2

Answer:

A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Hope it helped!

Btw, it was correct on the test!