1. This will be collected!! Warm up
Write a story using the following words…..
Slope, rate of change, intercept, graph, coordinate
This will be collected!!

2. A rate of change is _______________________________________ _______________________________________________________

3. EXAMPLES
The table shows the average temperature (°F) for five months in a certain city. Find the rate of change for each time period. During which time period did the temperature increase at the fastest rate?
Step 1: Identify dependent and independent variables:

4. EXAMPLES
The table shows the average temperature (°F) for five months in a certain city. Find the rate of change for each time period. During which time period did the temperature increase at the fastest rate?
Step 2: Determine the rates of change

5. A constant rate of change occurs ___________________________ _______________________________________________________. The constant rate of change of a nonvertical line is called the ____________________________ of the line.

6. *The rise is _____________________________________________ _______________________________________________________. *The run is ______________________________________________ *The slope is ____________________________________________ ______________________________________________________. Remember: _____________________ _______________________________

7. SUMMARY
POSITIVE SLOPE
NEGATIVE SLOPE
ZERO SLOPE
UNDEFINED SLOPE

8. Examples 4. Determine the slope of the given line. •

9. Examples 5. Determine the slope of the given line. a. b. c.

10. The Special Cases 6. Determine the slope of the given line. a. b.

11. Examples 7. Determine whether the slope of each line is positive, negative, zero, or undefined. a. b. c. d.

12. Slope
We can find the slope of a line ____________________________________________________________________________. ** Slope is ALWAYS __________________________

13. slope = the difference in y-values
the difference in x-values

14. Find the slope of the line that contains the points (2, 5) and (8, 1).

15. Try It!
Find the slope of the line that contains the points (5, -7) and (6, -4).
Find the slope of the line that contains the points (¾, ⁷⁄₅) and (¼ ,⅖).

16. Sometimes you are not given two points to use in the formula
Sometimes you are not given two points to use in the formula. You might have to choose two points from a graph or a table.

17. Try it!