# Gold Day – 2/18/2015 Blue Day – 2/19/2015

## Presentation on theme: "Gold Day – 2/18/2015 Blue Day – 2/19/2015"— Presentation transcript:

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

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

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

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

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

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

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

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.

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

Linear/Non-linear Practice
4.

Linear/Non-linear Practice
6. 5.

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.

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).

Slope and Intercept Practice

Slope and Intercept Practice