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

A rate of change is _______________________________________ _______________________________________________________

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:

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

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

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

SUMMARY POSITIVE SLOPE NEGATIVE SLOPE ZERO SLOPE UNDEFINED SLOPE

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

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

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

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

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

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

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

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).

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.

Try it!