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Chapter 14: Q38. (page 582)

Draw the x-axis and y-axis and the line l with equation y=-x. Plot several points and their images under Rl. What is the image of a,b?

Short Answer

Expert verified

The given equation is y=-x

The given point is a,b

Step by step solution

01

Step 1. Given Information.

The given equation is y=-x

The given point is a,b

02

Step 2. Calculation.

Therefore, the graph can be obtained as,

Let us assume that the point is -4,4 then the image of the point is 4,4 about the x-axis.

03

Step 3. Conclusion.

The mirror image of the points are given in the graph.

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Most popular questions from this chapter

A line with equation y=x+5 is reflected in the x-axis. Find an equation of the image line.

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point A.

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rj?炉=XY鈫�

Draw any two points B and B'. Then use a straightedge and compass to construct the line of reflection j so that RjB=B'.

In each exercise Rk:A鈫�A'. Find an equation of line k.
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