1. Gold Day – 2/18/2015 Blue Day – 2/19/2015
Linear Functions

2. Bell Ringer Label the Parts of the linear equation
y is ________________
m is _______________
x is _______________
b is _______________

3. Agenda & News Unit 5 – Linear functions and Applications
Review – slope, slope intercept form

4. Reminders Slope is represented by the letter m
Slope is equal to the rise divided run m

5. Reminders- Slope-intercept form
Slope-intercept form is the equation of a line.
y-intercept
Where the line we are graphing crosses the y-axis
Dependent variable
It is also our y-coordinate
Slope
Rate of change
Rise over run
Independent variable
It is also our x-coordinate

6. Check point In the equations, determine the slope and the y-intercept
y=2x+1
m=_________ b=_________
y=5x+8
y=-½x+2

7. Linear Functions Definition My Definition Facts/characteristics
Examples
Non-examples
A function is a linear function if the rate of change is the constant between 2 sets of points.
The graph of a linear function is ALWAYS a straight line.
If a function has the same slope
throughout it is a linear
function
Vocabulary Word:
Linear Function x Y 3 9 6 16 x Y -5 1 -4 7 -3 11

8. Linear/Non-linear Practice
Are the following linear or non-linear?
1st check the rate of change/slope
OOPS! Ms. Rodriguez, I forgot the equation for slope.
y2 – y1
x2 – x1
Here it is!! Write it down!! m= 1. 2.

9. Linear/Non-linear Practice3.
Hint: Remember Function Machines here.
You have to find out this first. Then check the slope. (Remember: f(x) is the same as y.)

10. Linear/Non-linear Practice4.

11. Linear/Non-linear Practice6. 5.

12. x–intercept x-intercept The point where the graph crosses the x-axis.
x-intercepts happen when the y-coordinate is zero.
To find the x-intercept from an equation, replace y [or f(x)] with 0 and solve for x.

13. y–intercept y-intercept The point where the graph crosses the y-axis.
x-intercepts happen when the x-coordinate is zero.
To find the x-intercept from an equation, replace x with 0 and solve for y or f(x).

14. Slope and Intercept Practice

15. Slope and Intercept Practice