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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.

User Smigs
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2 Answers

6 votes
y = 2x − 3 resembles Ax + By + C = 0, which is the "standard equation of a straight line."

Note that in y = 2x − 3, both x and y are to the power 1. This is another indicator that y = 2x − 3 represents a straight line.

Another check to determine whether or not
y = 2x − 3 represents a straight line would be to determine whether the given points (such as the points (0, −3), (1, −1), (2, 1) ) satisfy theis equation y = 2x - 3.
User Angelo Giuffredi
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5 votes
It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
User Suenda
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8.4k points

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