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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.

Respuesta :

Answer:

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

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

varshamittal029

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

How to solve this problem?

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

Learn more about linear functions here -

https://brainly.com/question/12985720

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