Question

1. midpoint of rs is (9,-7) and s is (12,-9). what are the coordinates of r?type a response...

Explanation:

Step1: Use mid - point formula

The mid - point formula for two points \(R(x_1,y_1)\) and \(S(x_2,y_2)\) is \(M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Let \(M=(9,-7)\) and \(S=(12,-9)\).

Step2: Find \(x\) - coordinate of \(R\)

We know that \(\frac{x_1 + 12}{2}=9\). Multiply both sides by \(2\): \(x_1+12 = 18\). Subtract \(12\) from both sides: \(x_1=18 - 12=6\).

Step3: Find \(y\) - coordinate of \(R\)

We know that \(\frac{y_1+( - 9)}{2}=-7\). Multiply both sides by \(2\): \(y_1-9=-14\). Add \(9\) to both sides: \(y_1=-14 + 9=-5\).

Answer:

\((6,-5)\)