Which of the following does not lie on the graph of y = 2x - 2?(1/2, 1)(-1/2, -3)(-1, -4)
Question
Which of the following does not lie on the graph of y = 2x - 2?(1/2, 1)(-1/2, -3)(-1, -4)
Solution
To determine which point does not lie on the graph of y = 2x - 2, we need to substitute the x and y values of each point into the equation and see if the equation holds true.
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For the point (1/2, 1), if we substitute x = 1/2 and y = 1 into the equation, we get:
1 = 2*(1/2) - 2 1 = 1 - 2 1 = -1
This is not true, so the point (1/2, 1) does not lie on the graph of y = 2x - 2.
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For the point (-1/2, -3), if we substitute x = -1/2 and y = -3 into the equation, we get:
-3 = 2*(-1/2) - 2 -3 = -1 - 2 -3 = -3
This is true, so the point (-1/2, -3) lies on the graph of y = 2x - 2.
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For the point (-1, -4), if we substitute x = -1 and y = -4 into the equation, we get:
-4 = 2*(-1) - 2 -4 = -2 - 2 -4 = -4
This is true, so the point (-1, -4) lies on the graph of y = 2x - 2.
Therefore, the point that does not lie on the graph of y = 2x - 2 is (1/2, 1).
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