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Find the midpoint of the segment joining (-3, 5) and (7, 1).
AThe point (5, 2)
BThe point (4, 6)
CThe point (2, 3)
DThe point (2, 6)
Answer & Solution
Correct answer: C. The point (2, 3)
1. The midpoint averages the two x-coordinates and averages the two y-coordinates.
2. Adding the x-coordinates gives negative 3 plus 7, which is 4, and half of 4 is 2.
3. Adding the y-coordinates gives 5 plus 1, which is 6, and half of 6 is 3.
4. So the midpoint is (2, 3), and forgetting to halve would wrongly give (4, 6).
_Source: OpenStax College Algebra (CC BY 4.0), section 2.1 The Rectangular Coordinate Systems and Graphs_