The line L has equation y = 2x - 1.
Four of the following five points are the same distance from the line L. Which one is at a different distance?
A. (1, -1)
B. (1, 3)
C. (4, 9)
D. (6, 9)
E. (5, 13)
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The best way to answer this question would be to draw a quick sketch of the line and the points, because it quickly becomes obvious our answer is E.
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The easiest way to find the answer is to insert the x values of the options into the equation of the line and find the y of the function and how far the y of the options is from the y of the function. For instance, if you enter the x value of A, the y on function will be 1, and it is 2 units away from the y of A (_1).
In the same way, the y’s of the options and the function are 2 units away except for E.
y=2(5)_1=9
13_9=4
So the answer would be E.
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