Question

Line y = 7 is the perpendicular bisector of the segment with endpoints A(2, 10) and B(2, k) . What is the value of k?

Answer 1

Answer: 14

Explanation:

`\text{The midpoint of the segment is } \left((2+2)/(2), (10+k)/(2) \right)=(2, 5+0.5k). \\ \\ \text{We know that the line passing through this midpoint is } y=7 \\ \\ \text{so } 0.5k=7 \longrightarrow \boxed{k=14}`