 Slope is typically represented by m  The y intercept is represented by b m = y / x m = rise/run m= ( y 2 – y 1 ) / ( x 2 – x 1 ) slope intercept form:

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Presentation transcript:

 Slope is typically represented by m  The y intercept is represented by b m = y / x m = rise/run m= ( y 2 – y 1 ) / ( x 2 – x 1 ) slope intercept form: y=mx + b  Slope is the constant rate of change ( ) per unit

1)Open a new GeoGebra file 2) Create two points on your graph. 3) Create a line through those two points.

 Discussion

 A fraction always gives a wider slope (a slope that is less steep) Truth: a fraction with a larger numerator than denominator will result in a steeper slope EXAMPLE: 15/3 will be steeper than 3/15  The placement of y and x in the equation We tend to put x on the top of the fraction because we are used to x coming before y NOT CORRECT: X 2 – X 1 CORRECT: Y 2 – Y 1 Y 2 – Y 1 X 2 – X 1

 Discussion

COMMON SLOPE FORMULAS  HORIZONTAL LINE: m = 0  VERTICAL LINE: m = undefined  LINE THAT FALLS TO THE RIGHT: m = negative \  LINE THAT RISES TO THE RIGHT: m = positive /

DAY 2

 Open a new Geogebra file  Access the internet to locate a picture of bellbottom jeans  Save the file to pictures  Import the picture to Geogebra and position the picture on the grid  Plot two points on the picture, one on the outer part of the jeans at the knee, and the second on the outer part of the jeans at the ankle.  Find the slope of the line that these two points would create.

 Discussion