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Chapter 8: Q46. (page 416)

For Exercises 45 and 46, use the following information. You can use midpoints and slope to describe some transformations. Suppose point A is the image when point A is reflected over the line with equationy=x.

What is the slope of AA'炉? Explain.

Short Answer

Expert verified

The slope of AA'炉is 鈥�1.

Step by step solution

01

.Given

Suppose point A鈥� is the image when point A is reflected over the line with equationy=x.

02

Step 2. To determine

We have to find the slope of AA'炉.

03

Step 3. Calculation

Comparey=xwith y=mx+b.

So, the slope of y=x is 1.

We know that the line joining a point and its image is perpendicular to the line of reflection.

The slope of a perpendicular line is negative reciprocal. So, the slope ofAA'炉is -11=-1.

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