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Name__________________________ # 9 Slope and Rate of Change Find the slope of the line using the characteristics given—equation of the line, two points on the line, or graph of the line. 1. (5, 2) and (4, -1) 4. 13. 2. (-2, 3) and (4, 6) 5. 9 1 3. (2, 5) and (2, -3) 1 6. y = - 4x – 3 2x + y = 3 7. (0, 4) and (-3, 4) 8. y = -2x + 3 9. 10. 2x – 5y = -10 11. (5, 2) and (5, -2) 12. -8x – 2y =32 14. 15. (-3, 1) and (4, 1) Name__________________________ Find the rate of change for each situation using the information given—data table or written explanation. (FYI - slope is rate of change, 16. Prices at Internet Café Time Cost (hours) (dollars) 2 7 4 14 6 21 17. Walking 𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒊𝒏 𝒚 𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒊𝒏 𝒙 Time (minutes) Distance (miles) ) 30 60 90 1.5 3 4.5 18. A particular Broadway production was not very popular on the opening weekend, but every two weeks attendance increased by approximately 400 theater-goers. What is the weekly rate of change? 19. Calories burned by playing a basketball game per weight of individual Weight (lbs) 160 200 240 Calories burned 584 728 872 20. The outside temperature at 3pm on Thursday was 52°F. At 3am on Friday the outside temperature was 34°F. Assuming a constant rate of change, what is the hourly rate of change?