Chapter 9.2, Problem 11PSA

a

To determine

To find:The coordinates of point $H^{\text{'}}$

Answer to Problem 11PSA

The coordinates of point $H^{\text{'}}=(-3,14)$

Explanation of Solution

Given information:the following information has been given

  $H=(3,14)$

Formula used:For reflection in y axis, the x coordinate will be negative

Calculation:We know that for reflection in y axis, the x coordinate will be negative. Thus, we can say that

  $H^{\text{'}}=(-3,14)$

b

To determine

To find:The slope of $T{H}^{\text{'}}$

Answer to Problem 11PSA

The slope of $T{H}^{\text{'}}$ is $-1$

Explanation of Solution

Given information:the following information has been given

  $H^{\text{'}}=(-3,14)$

  $T=(8,3)$

Formula used:We find any given slope as

  $m=\frac{y_2-y_1}{x_2-x_1}$

Where x and y are the coordinates of points.

Calculation:We calculate the slope as follows

  $T{H}^{\text{'}}=\frac{14-3}{-3-8}=\frac{11}{-11}=-1$