1 2x 3y 9 2 2x 3y 1 a Graph 1 and 2 What is the relationship between these two lines b Give the coordinates of one point, A, on 1, and two points, P and Q, on 2 c Describe the transformation that maps 1 onto 2 and A onto P Write the equation of the image of 1 showing the transformation d Describe the transformation that maps 1 onto 2 and A onto Q Write the equation of the image of 1 showing the transformation e Algebraically show that the equations in 15c and d are equivalent to 2

Question: 1: 2x - 3y = 9 2: 2x - 3y = - 1 a. Graph 1 and 2. What is the relationship between these two

ℓ1: 2x - 3y = 9 ℓ2: 2x - 3y = - 1
a. Graph ℓ1 and ℓ2. What is the relationship between these two lines?
b. Give the coordinates of one point, A, on ℓ1, and two points, P and Q, on ℓ2.
c. Describe the transformation that maps ℓ1 onto ℓ2 and A onto P. Write the equation of the image of ℓ1 showing the transformation.
d. Describe the transformation that maps ℓ1 onto ℓ2 and A onto Q. Write the equation of the image of ℓ1 showing the transformation.
e. Algebraically show that the equations in 15c and d are equivalent to ℓ2?

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a They are parallel b Possible answer A0 3 P1 1 Q4 3 c Possible answer T... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

940-L-A-L-S (3410).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

1. What is the relationship between the two sets A and B if A B = ? 2. What is the relationship between the two sets A and B if n (A B) = n (A) + n (B)? 3. Suppose that A and B are subsets of the...

What is the relationship between education and belief in Heaven? The data on the following page represent the highest level of education and belief in Heaven for a random sample of adult Americans....

What is the relationship between your answers to Problems 6.12 and 6.13? Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. Table 2.13: Hospital-stay data

Solving Systems of Equations Algebraically . Practice Examples 1 and 2 Use substitution to solve each system of equations. 1. 2x - y = 9 2. 2x - y = 7 x + 3y =-6 3. 2x + y = 5 6x - 3y = 14X - 3x - 3y...

2-78 1 2-79 EXERCISES 2.6 non In 14. In each 1. 2x + 3y = 7 2. 5x 7y = 3 - 3. x - y = 5 4. x + y = 12 5. xy = 4 dy Exercises 1 through 8, find in two ways: Childr dx 5145 bas 1 6. x + = = 5 y 7. xy +...

\fEvaluate the expression for the given value of the variables. 18. 2ac - b if a = 2, b = 4, and c = 5 19 . 4 c +b when b = - 2, c = - 3, and d = -5. 3 ( 2 - d ) 20. 3x -4, when x = - 3 21. Vx 3 +12,...

6.5a Homework Score: 18,141 1/6 answered 0 Question 1 v Select all the residual plots that violate the conditions for linear regression. 0' o o o... .. .0. .0 0: . o .. o. o I C . .... . . o .n a: o...

MATH 106 QUIZ 3 Instructor: E. Cooper NAME: _______________________________ INSTRUCTIONS The quiz is worth 100 points. There are 8 problems. This quiz is open book and open notes. This means that you...

Unit 5: Polynomial Functions Assignment Booklet 5 Name: Date: Unit 5: Polynomial Functions Unit Assignment Read the course material and complete the practice questions in the Unit 5...

Part 1: Rotations, Reflections and Translations Given the parallelogram MNOP translate the figure 6 units down. What are the points of the new parallelogram M'N'O'P*7 Show all work in the space...

In the Castorian Airline market there are only two firms. Each firm is deciding whether to offer a frequent flyer program. The annual profits (in millions of dollars) associated with each strategy...

In an unpaired two-sample problem an experimenter observes n = 10. = 7.76. sx = 1.07 from population A and m = 9, = 6.88. Sy = 0.62 from population B. (a) Construct a 99% one-sided confidence...

EXERCISE 3-4. Unit Reconciliation During July, Classic Car Wax Company completed 40,000 cans of wax. At the beginning of July, the company had 1 ,000 units that were 90 percent complete with respect...

Suppose a student made this statement: Research shows that treatment with Alpha is significantly better than the Beta Treatment. How would you respond to this student? Would you ask for additional...

The ticker shows trades of stock in Hewlett-Packard (HPQ), Exxon- Mobil (XOM), and Chevron (CVX). HPQ 6K47.29 0.23 XOM 3K92.67 0.08 CVX 9K100.38 0.22 a. How many shares of Hewlett-Packard were...

Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold the stock this morning for $21 per share, and paid his broker 0.5% commission. a. What...

Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. a. What were...

QUESTION 4 8 A projected negative annual cash flow indicates: a . Projected cash inflows are less than projected cash outflows. b . Net farm income will be negative. c . Depreciation expense is too...

Suppose a life insurance company sells a $220,000 one-year term life insurance policy to a 22-year-old female for $370. The probability that the female survives the year is 0.999608. Compute and...

You purchased 2,600 shares in the New Pacific Growth Fund on January 2, 2010, at an offering price of $41.60 per share. The front-end load for this fund is 5 percent, and the back-end load for...