If the distance from point (C2, m) to point (4, C1) is 10 units, what is the positive value of m?

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If the distance from point (C2, m) to point (4, C1) is 10 units, what is the positive value of m?

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Answer: 7

Explanation:

First, use the distance formula to form an equation that can be solved for m :

m 2 + 2 m C 63 = 0

Now factor m 2 + 2 m C 63:

( m + 9) × ( m C 7) = 0

m = 7, m = C9.

The positive value of m is 7.