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Chapter 14: Q35. (page 582)

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

Short Answer

Expert verified

The equation is obtained as,

y=-x+c

Step by step solution

01

Step 1. Given Information.

The given points are 5,1and1,5.

02

Step 2. Concept Used.

y=mx+cwherem=y2鈭�y1x2鈭�x1

03

Step 3. Calculation.

The line of the given points can be obtained as,

m=y2鈭�y1x2鈭�x1m=5鈭�11鈭�5m=鈭�1y=鈭�1鈰�x+cy=鈭�x+cwherecisconstant

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

y=鈭�x+c

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Most popular questions from this chapter

Fold a piece of paper. Cut a design connecting the top and bottom point of the fold, as shown. Unfold the shape. Consider a mapping M of the points in the gray region to the corresponding points in the red region.

  1. Does M appear to be an isometry?
  2. If a point P is on line k, what is the image of P?
  3. If a point Q is not on line k, and MQ=Q', what is the relationship between the line k and QQ'鈫�?

Explain why each of the correspondences pictured below is not a one-to-one mapping from set A to set B.

Copy each figure on graph paper. Then draw the image by reflection in line k.

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.

Use the transformation T:x,y鈫�x+1,y+2 in this exercise.

  1. Plot the following points and their images on the chalkboard: A0,0, B3,4, C5,1, and D-1,-3.
  2. Find AB, A'B', CD, and, C'D'.
  3. Does this transformation appear to be an isometry?
  4. What is the pre image of 0,0? of 4,5?
See all solutions

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