Chapter 4.1, Problem 60E

To determine

the coordinates of $P\text{'}\text{ if }P\left(4,9\right)\text{ and }P\text{'}$ are symmetric with respect to $M\left(-1,9\right)$ .

Answer to Problem 60E

  $P\text{'}=\left(-6,9\right)$

Explanation of Solution

Given information: $P\left(4,9\right)\text{ and }P\text{'}$ are symmetric with respect to $M\left(-1,9\right)$

Calculation:

Since the distance between M and P is 5 units, then we need to move 5 units in the other direction (left) to get to P’.

This makes $P\text{'}=\left(-6,9\right)$