1. Graphing Linear Functions and Point Slope Form

2. Warm Up
The following function represents the profit of a snow ball stand over time:
What is the slope and what does it mean in the context of the problem?
What is the y-intercept and what does it mean in the context of the problem?

3. Objective
The student will be able to to create a linear function given two points.

4. Consider the Following…
Is it possible to create a linear function given two ordered pairs, if so why, not why not? What is needed to create a linear function, and do we have enough information to create a linear function with two ordered pairs?

5. Try with a Partner
Mr. Holocker is running a snowball stand and found after he sold 2 snow balls he has made $16.00 and after selling 12 snow balls he has made $4.00.
Write a function that relates the number of snowballs sold s, to the profit made.

6. Point Slope Form.
Point Slope Form only requires one point and a slope to create a linear function.
Essentially we only need two ordered pairs to create a linear function!

7. Try with a Partner
Create a linear function that goes through the points (2,3) and (5,4).

8. On Your Own:
Joe Cool is selling candy to buy a new pair of sunglasses. After selling 2 pieces of candy, he has made $2.00 and after selling 8 pieces of candy, he has made $5.00.
Write a function that relates the number of pieces of candy c, to the profit made.

9. Try with a Partner
Write and graph the function that has a slope of and goes through
the point (2,4)

10. With a Partner…
Find and graph the function that goes through the points (12,4) and (-4,0):

11. On your Own…
Find and graph the following function that goes through the following points (0,2) and (8,6):

12. Exit Ticket and Homework
Find the function that goes through the origin and (9,3).
Homework:
Worksheet