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

Linear Functions

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**Bell Ringer Label the Parts of the linear equation**

y is ________________ m is _______________ x is _______________ b is _______________

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**Agenda & News Unit 5 – Linear functions and Applications**

Review – slope, slope intercept form

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**Reminders Slope is represented by the letter m**

Slope is equal to the rise divided run m

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**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

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**Check point In the equations, determine the slope and the y-intercept**

y=2x+1 m=_________ b=_________ y=5x+8 y=-½x+2

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**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

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**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.

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**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.)

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**Linear/Non-linear Practice**

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**Linear/Non-linear Practice**

6. 5.

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**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.

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**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).

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**Slope and Intercept Practice**

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**Slope and Intercept Practice**

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What is a Line? A line is the set of points forming a straight path on a plane The slant (slope) between any two points on a line is always equal A line.

What is a Line? A line is the set of points forming a straight path on a plane The slant (slope) between any two points on a line is always equal A line.

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