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Gold Day – 2/18/2015 Blue Day – 2/19/2015.  Label the Parts of the linear equation 1. y is ________________ 2. m is _______________ 3. x is _______________.

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Presentation on theme: "Gold Day – 2/18/2015 Blue Day – 2/19/2015.  Label the Parts of the linear equation 1. y is ________________ 2. m is _______________ 3. x is _______________."— Presentation transcript:

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

2  Label the Parts of the linear equation 1. y is ________________ 2. m is _______________ 3. x is _______________ 4. b is _______________

3  Unit 5 – Linear functions and Applications  Review – slope, slope intercept form

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

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

6  In the equations, determine the slope and the y-intercept 1. y=2x+1 m=_________ b=_________ 2. y=5x+8 m=_________ b=_________ 3. y=-½x+2 m=_________ b=_________

7 Definition My Definition Facts/characteristics ExamplesNon-examples Vocabulary Word: Linear Function A function is a linear function if the rate of change is the constant between 2 sets of points. If a function has the same slope throughout it is a linear function The graph of a linear function is ALWAYS a straight line. xY xY

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

9 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.)

10 4.

11 5. 6.

12  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  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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