Linear Functions

1. Linear Functions By Joyce Ann Wolfe Teachers Quality Institute 06/04/09

2. Define: Linear Function • A function f is a linear function if f(x) = ax + b , for real numbers a and b. • When a linear function is written in the form Ax + By = C, it is said to be in standard form. • The graph of a linear function is a straight line. To graph a linear function, find at least two of its ordered pairs, plot them, and draw a line through them. • http://www.occc.edu/maustin/Linear_Functions/Linear%20Functions.htm

3. Example: • Let x = 0. 5(0) – 2y = 10 • Letting x = 0 will give us the y-intercept • - 2y = 10 Solve for y. • y = -5   • (0,-5)   • Let y = 0. 5x – 2(0) = 10 • Letting y = 0 will give us the x-intercept. • 5x = 10   x = 2   • (2,0)   • Let x = 4. 5(4) – 2y = • Third point is a check 20 – 2y = 10 • - 2y = -10 • y = 5 • (4,5) • These points would be plotted and a line drawn through them to complete the graph

4. Linear Functions in Realistic Settings

5. Realistic Setting II

6. Assignment: Realistic Setting III Using the Golf video Solve the Linear Function: From Point a to Point c = 13’ (13 feet). Point a to point b = 3’ (3 feet). What is the measurement from Point b to Point c? Create an equation to find the distance from the golf ball at the Webmaster’s feet to the rectangle at the end of the arrow.

7. Golfing with the “WEBMASTER”

8. Solution: If a + b = c, then what is b? a + b = c 3 -3 + b = 13 -3 b = 10 There is 10’ from point b to point c.

9. Acknowledgements:I would like to thank United Streaming for Realistic Videos I & II.My appreciation to the “Webmaster” Steven Mizell for his wonderful golf performance.My greatest appreication to Ms. Brenda & Ms. Debbie from “KATE.”