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**1. Homework Statement**

Given

*P*(-5, 9) and

*Q*(-8, -7), find a point

*R*such that

*Q*is the midpoint of

*PR*

**2. Homework Equations**

[tex]d = \sqrt{(x+8)^2+(y+7)^2}[/tex]

**3. The Attempt at a Solution**

Because Q is the midpoint of PR, I know that d(P, Q) = d(Q, R). I also know that d(P, R) = d(Q, R), which is [tex]\sqrt{265}[/tex].

The point of Q is [tex](\frac{-13}{2}, 1)[/tex]. I really don't know where to go from here. This problem is one of the chapter review questions and the book does not cover this specific type of problem in the examples nor did we cover it in our assignments.