Texas Tech University

Section 4-1: Writing Equations in Slope-Intercept Form (pages 161-166)


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Section 4-1: Writing Equations in Slope-Intercept Form (pages 161-166)

Understanding Mathematical Terms

Refer to the English-Spanish Glossary, which starts on textbook page A39, if you need help with a definition or finding a textbook page with an example for a vocabulary word.

Explorations

Read and work through the Explorations 1 and 2 and Communicate Your Answer on page 161. Then, check your answers below.

Answers to Explorations and Communicate Your Answer

Exploration 1 (page 161)

  1. slope is 2; y-intercept is –1; y = 2x – 1
  2. slope is –1; y-intercept is 2; y = –x + 2
  3. slope is Negative two thirds; y-intercept is 1; y = negative two thirds x + 1
  4. slope is one half; y-intercept is –2; y = one half x – 2

Exploration 2 (page 161)

  1. 20; The base cost of the plan is $20 per month.
  2. Sample answer: 0.03; Each megabyte of data costs $0.03 to use.
  3. Sample answer: C = 0.03x + 20

Communicate Your Answer (page 161)

  1. Use the graph to find the slope and the y-intercept, and substitute these values into the slope-intercept form.
  2. Sample answer:
    graph

Section 4-1 Lesson (pages 162-164)

Read over and study Examples 1 through 5. Remember your steps for problem solving. Practice with the Monitoring Progress problems as you go, and then check your answers below.

Answers to Monitoring Progress (pages 163-164)
  1. y = 7x + 2
  2. y = one third x – 1
  3. y = one half x + 1
  4. y = negative two fifths x – 1
  5. y = 3x – 2
  6. g(x) = negative one fourth x + 9
  7. y = 5.8x + 248