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Splash Screen. Five-Minute Check (over Lesson 9–5) Main Idea and Vocabulary Example 1: Find Slopes and y -intercepts of Graphs Example 2: Find Slopes and y -intercepts of Graphs Example 3: Graph Using Slope-Intercept Form Example 4: Graph an Equation to Solve Problems

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 9–5) Main Idea and Vocabulary Example 1: Find Slopes and y-intercepts of Graphs Example 2: Find Slopes and y-intercepts of Graphs Example 3: Graph Using Slope-Intercept Form Example 4: Graph an Equation to Solve Problems Example 5: Graph an Equation to Solve a Problem Example 6: Graph an Equation to Solve a Problem Lesson Menu

  3. Graph linear equations using the slope and y-intercept. • slope-intercept form • y-intercept BrainPop:Slope and Intercept Main Idea/Vocabulary

  4. State the slope and the y-intercept of the graph of the equation . Find Slopes and y-intercepts of Graphs Write the equation in the form y = mx + b. Answer: Example 1

  5. A B C D State the slope and the y-intercept of the graph of the equation A. B. C. D. Example 1

  6. = Find Slopes and y-intercepts of Graphs State the slope and the y-intercept of the graph of the equation 2x + y = 8. Write the original equation. Subtract 2x from each side. Simplify. y = –2x + 8 Write the equation in the form y = mx + b. y = mx + b Answer: The slope of the graph is –2 and the y-intercept is 8. Example 2

  7. A B C D A. slope = –3; y-intercept = 5 B.slope = –3; y-intercept = –5 C. D. State the slope and the y-intercept of the graph of the equation 3x + y = 5. Example 2

  8. Graph using the slope and y-intercept. Graph Using Slope-Intercept Form Step 1 Find the slope and y-intercept. Step 2 Graph the y-intercept (0, 2). Example 3

  9. change in y: up 2 units change in x: right 3 units Graph Using Slope-Intercept Form Step 3 Use the slope to locate a second point on the line. Answer: Step 4Draw a line through the two points. Example 3

  10. A B C D Graph using the slope and y-intercept. A. B. C. D. Example 3

  11. Graph an Equation to Solve Problems MOVIE RENTALA movie rental store charges $4 to rent a movie. If a movie is returned late, the charge is $3 extra per day. The total cost is given by the equation y = 3x + 4, where x is the number of days the movie is late. Graph the equation. Example 4

  12. Graph an Equation to Solve Problems First, find the slope and the y-intercept. y = 3x + 4 Answer: slope = 3 y-intercept = 4 Plot the point (0, 4). Then locate another point up 3 and right 1. Draw the line. Example 4

  13. A B C D A. B. C. D. GAME RENTALA game rental store charges $5 to rent a game. If a game is returned late, the charge is $5 extra per day. The total cost is given by the equation y = 5x + 5, where x is the number of days the game is late. Graph the equation. Example 4

  14. Graph an Equation to Solve a Problem MOVIE RENTALA movie rental store charges $4 to rent a movie. If a movie is returned late, the charge is $3 extra per day. The total cost is given by the equation y = 3x + 4 where x is the number of days the movie is late. Describe what the slope and y-intercept of the graph represent. Answer: The slope 3 represents the rate of change in price each day a movie is late. The y-intercept 4 is the minimum charge for renting a movie. Example 5

  15. A B GAME RENTALA game rental store charges $5 to rent a game. If a game is returned late, the charge is $5 extra per day. The total cost is given by the equation y = 5x + 5, where x is the number of days the game is late. Describe what the slope and y-intercept of the graph represent. A. The slope represents the rate of change in price each day a game is late. The y-intercept is the minimum charge for renting a game. B. The slope represents the rate of change in price each day a game is late. The y-intercept represents the maximum charge for renting a game. Example 5

  16. Graph an Equation to Solve a Problem MOVIE RENTALA movie rental store charges $4 to rent a movie. If a movie is returned late, the charge is $3 extra per day. The total cost is given by the equation y = 3x + 4 where x is the number of days the movie is late. Is the total cost proportional to the number of days the movie is late? Explain. Example 6

  17. Graph an Equation to Solve a Problem Compare the ratio of total cost to number of days late. Answer: The total cost is not proportional to the number of days late. Example 6

  18. A B C D GAME RENTALA game rental store charges $5 to rent a game. If a game is returned late, the charge is $5 extra per day. The total cost is given by the equation y = 5x + 5, where x is the number of days the game is late. Use the graph to find how many days late a game is if the late charge is $10. A. 1 day B. 2 days C. 3 days D. 4 days Example 6

  19. End of the Lesson End of the Lesson

  20. Five-Minute Check (over Lesson 9–5) Image Bank Math Tools Slope and Intercept Resources

  21. A B C D A. B. C. D. (over Lesson 9-5) Refer to the graph. The amount of money Aisha earns is directly proportional to the number of hours she works at the bookstore. What is the ratio of money earned to hours worked? Five Minute Check 1

  22. A B C D (over Lesson 9-5) Refer to the graph. Continuing at the rate shown, how much will Aisha have earned after working 21 hours? A. $152 B. $168 C. $192 D. $210 Five Minute Check 2

  23. A B C D A.noB.yes; 2 C.D. (over Lesson 9-5) Determine whether the linear function is a direct variation. If so, state the constant of variation. Five Minute Check 3

  24. A B C D (over Lesson 9-5) At the farmer’s market, they are selling 10 ears of corn for $4.00. How much would it cost to buy 17 ears of corn? A. $4.75 B. $6.80 C. $7.40 D. $8.50 Five Minute Check 4

  25. End of Custom Shows

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