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

1 Answer
May 2, 2018

Answer:

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

Explanation:

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, (5,4) does not lie on the line. Try plugging in one of the values to see it.
graph{y = 2x -3 [-10, 10, -5, 5]}