Question

Which ordered pair is a to the equation y=6x -2

Answer 1

Answer: choice D.  (5, 28)

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Explanation:

The idea is to plug in each pair of coordinates and see if you get a true equation. Choice A does not work because

y = 6x-2

20 = 6(6)-2 ... plugged in x = 6 and y = 20

20 = 36-2

20 = 34

we have a false equation. So this shows choice A does not work.

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However, choice D does work since...

y = 6x-2

28 = 6(5)-2 .... plug in (x,y) = (5,28)

28 = 30-2

28 = 28

Put another way, if we plugged x = 5 into the equation, then we'd get y = 28. Therefore, showing (5,28) is a point on the line y = 6x-2.