16Hit1600
AlgebraVery hardSlope through a midpoint

Algebra practice question

In the xy-plane, the line y = mx + 3, where m is a constant, passes through the midpoint of the segment joining (2, 5) and (6, 9). What is the value of m?

Answer: 1

The midpoint is (4, 7). Then 4m + 3 = 7 gives m = 1.

Common wrong answers

If you answered 2
2 uses the point (2, 7).
If you answered 1.5
1.5 uses the point (4, 9).
If you answered 0.5
0.5 comes from using the point (4, 5), taking the y-value of the first endpoint instead of the midpoint.

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