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If y = 2x - 3, then which of the following ordered pairs (1, -1), (-3, 0), (5, 4) lies on the graph?

Answer 1

#(1, -1)# lies on #y = 2x -3#.

To check whether a point lies on the line, substitute either #x or y# into its corresponding equation. If you get the other coordinate correctly from the equation, the point lies on that line.

Let's substitute #x = 1# in #y = 2x - 3# #impliesy = 2xx1 - 3 = 2 - 3# #impliesy = -1# This corresponds to the y-coordinate in (1, -1). Thus the point (1, -1) lies on the given line.

Substitute #y= 0# in the equation. #0 = 2x - 3# #implies3 = 2x# #implies x = 3/2#

For (-3, 0) to lie on the line, putting #y = 0# should have given us #x = -3#. Since it didn't, the point does not lie on the line.

Similarly, graph{y = 2x -3 [-10, 10, -5, 5]} does not lie on the line; try plugging in one of the values to see it.

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Answer 2

Avery Alexander

For the equation ( y = 2x - 3 ), the ordered pair ((5, 4)) lies on the graph.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.