1. Lesson 4.2

2.  Determine the rate of change and slope of a line.

3.  A comparison of two measurements in which one of the terms has a value of 1.

4.  The ratio of the change in the output value and change in the input value of a function is called as Rate of Change.

5. DataRate of Change  Eve keeps a record of the number of lawns she mowed and the money earned.  Lawns$  115  345  690  8120  Constant  45 – 15  3 – 115  90 – 45  6 – 315  120 – 90  8 – 615

6. DataRate of Change  Height of football after it is kicked.  TimeHeight  00  0.518  1.531  226  Variable  18 – 0  0.5 – 036  31 – 18  1.5 – 513  26 – 31  2 – 1.526

7. DataRate of Change  The distance Nathan bicycled over time.  HoursMiles  115  230  345  460  Constant  30 – 15  2 – 115  45 – 30  3 – 215  60 – 45  4 – 315

9.  Given two points, find the slope.  (-3,2), (-6,4)  4 – 2  -6 – (-3)  2  -3  Slope = -2/3

10.  (4,3), (8,6)  6 – 3  8 – 4  3/4

11.  The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.  Rise =3  Run =4  Rate= 3/4

12.  Characteristics of a graph that is proportional:  1) It passes through the origin.  2) It is a straight line.

13. 12

14. PositiveNegative

15. No SlopeUndefined Slope

16.  (0, -1), (3,1)  2/3