Question

Which is an equation of the line containing the points (2, 5) and (4, 4) in standard form?

-2x+5y=12

2x+y=12

x+2y=12

-x+2y=8

Answer 1

x +2y = 12

Explanation:

Try the given points in the given equations and see what works.

-2x + 5y at (2, 5) is -2(2) +5(5) = 21 ≠ 12

) +) 2x + y at (2, 5) = 2(2) +(5) = 9 ≠ 12

x + 2y at (2, 5) = 2 +2(5) = 12 . . . . . goes through first point

x + 2y at (4, 4) = 4 + 2(4) = 12 . . . . goes through second point

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You know the answer at this point, so the next check is just for "completeness." It is not necessary to properly answer the question.

-x +2y at (2, 5) = -(2) +2(5) = 8 . . . . goes through first point

-x +2y at (4, 4) = -(4) + 4(4) = 4 ≠ 8 . . . does not go through second point