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Chapter 14: Q37. (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=35路x+c

Step by step solution

01

Step 1. Given Information.

The given points are -1,2and4,5.

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�y1x1鈭�x2m=5鈭�24鈭�鈭�1m=35y=35鈰�x+cwherekisconstant

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

y=35鈰�x+c

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Most popular questions from this chapter

In Exercise 18-20, refer to the diagrams on page 578. Given the reflection Rm:PQ鈫�鈫�P'Q'鈫�, write the key steps of a proof that PQ=P'Q'for each case.

Case 2.

Copy each figure on graph paper. Then draw the image by reflection in line k.
  1. Plot the three points A0,4, B4,6 and C2,0,and their images A', B', and C' under the transformation T:x,y鈫�x+4,y-2.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

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

RkC=?炉

Why are the measures of the angles that the initial light ray and the reflected light rays make with the mirrors in the diagram of the periscope on the previous page?
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