a. Why are the lines whose equations are y=x+4 and y=-2x-3 perpendicular?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a.
Why are the lines whose equations are y=x+4 and y=-2x-3 perpendicular?
b. Use a graphing utility to graph the equations in a [-10,10,1] by [-10,10,1] viewing rectangle. Do the lines appear to be perpendicular?
c. Now use the zoom square feature of your utility. Describe what happens to the graphs. Explain why this is so.
a. Choose the correct answer below.
A. The product of their slopes is 1.
B. The product of their slopes is -1.
OC. Their y-intercepts have opposite signs.
OD. They intersect at exactly one point.
b. Choose the correct graph below.
O A.
O B.
O D.
Q
20:04 R: 1
I
Do the lines appear to be perpendicular in this viewing window?
Yes
No
O C.
c. Choose the correct answer below.
Q
A. The lines now appear to be less perpendicular than before because this new viewing window shows more of the two graphs.
B. Nothing changes because the functions themselves have not changed.
O C. The lines now appear to be perpendicular because in this new viewing window, the distances between tick marks on the x-
and y-axes are equal.
Transcribed Image Text:a. Why are the lines whose equations are y=x+4 and y=-2x-3 perpendicular? b. Use a graphing utility to graph the equations in a [-10,10,1] by [-10,10,1] viewing rectangle. Do the lines appear to be perpendicular? c. Now use the zoom square feature of your utility. Describe what happens to the graphs. Explain why this is so. a. Choose the correct answer below. A. The product of their slopes is 1. B. The product of their slopes is -1. OC. Their y-intercepts have opposite signs. OD. They intersect at exactly one point. b. Choose the correct graph below. O A. O B. O D. Q 20:04 R: 1 I Do the lines appear to be perpendicular in this viewing window? Yes No O C. c. Choose the correct answer below. Q A. The lines now appear to be less perpendicular than before because this new viewing window shows more of the two graphs. B. Nothing changes because the functions themselves have not changed. O C. The lines now appear to be perpendicular because in this new viewing window, the distances between tick marks on the x- and y-axes are equal.
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