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Question:

Which of the following pairs of points both lie on the line whose equation is 4x-2y= 10?

A (3,1) and (6,7)
Explaination

Test each pair. Only (3,1) and (6,7) satisfy the equation.
4(3) - 2(1) = 12 - 2 = 10, and 4(6) - 2(7) = 24 - 14 = 10.
None of the other pairs work.