Question

Which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?

It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line.
It is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line.
It is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line

Answer 1

It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line

Last choice

Answer 2

Remark

The question is not are these points on any straight line. The point is are these points on the given straight line.

Given

y = 3x + 5

Question which three points are on the given straight line.

A

A is incorrect.

When x = 1, y= 3(1) + 5 = 8

The polnt (1,0) is not on this straight line.

B

B is incorrect. See the explanation for A.

C

C is wrong because of the word nonlinear. The points are on the given straight line and because the given line (y = 3x + 5) is linear the points fall on a linear line.

D

Correct answer. The points fall on a linear line.