Question

the point q is the midpoint of $overline{pr}$. find the location of p. location of p:

Explanation:

Step1: Recall mid - point formula

If $Q$ is the mid - point of $\overline{PR}$, then $Q=\frac{P + R}{2}$. We know $Q=-14$ and $R = - 5$.

Step2: Rearrange formula to solve for $P$

Multiply both sides of $Q=\frac{P + R}{2}$ by 2: $2Q=P + R$. Then $P=2Q - R$.

Step3: Substitute values of $Q$ and $R$

Substitute $Q=-14$ and $R=-5$ into $P = 2Q - R$. So $P=2\times(-14)-(-5)$.

Step4: Perform arithmetic operations

First, calculate $2\times(-14)=-28$. Then $P=-28 + 5=-23$.

Answer:

$-23$