Byron

= Slope (Rate of Change and Slope) = by Derek A, Harrison C, and David G **__ media type="file" key="Byron 2.mp3" width="240" height="20"

Definitions __ Rate of Change**- The relationship between two quantities that are changing. The rate of Change is also called the slope. Rate of Change= change in the dependant variable/change in the independant variable
 * Dependant Variable**- A variable that provides the output values of a function.
 * Independant Variable**- A variable that provides the inpput values of a function.
 * Slope**- The ratio of the vertical change to the horizontal change. Slope=vertical change/horizontal change=y**2**-y**1**/x**2**-x**1**
 * X- Cordinate**- The Location on the x- axis of a point in the cordinate plane.
 * Y- Cordinate**- The Location on the y-axis of a point in the cordinate plane.

**__How to find Slo__** **__ pe __** To find the slope of a line, you first need to have two cordinates. If you are not already given a pair of cordinates, pick two points along the line. Once you have found points, insert the points into the slope formula. It doesn't matter which point you use for the first cordinate because the line is always the same slope if it is in the form of y=mx+b where m is the slope. After inserting these points in the equation, solve for m. Then you will have your slope and you are all done!





Here is our poster of the slope formula.

This is the definitions of Slope and Rate of Change.





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 * __Example__**

Find the slope of the line segment joining the points **( 2, 2 )** and **( 4, 4 )**.

Label the points as //x//**1** **= 2**, //y//**1** **= 2**, //x//**2** **= 4**, and //y//**2** **= 4**. To find the slope //**m**// of the line segment joining the points, use the slope formula : //y//**2 -** //y//**1**/ //x//**2 -** //x//**1**= slope 4-2/4-2= slope 1=slope So, //slope or m// = 1

__ **Videos** __ This video will show you in depth how to solve a slope problem and what it is. Watch and learn from the masters of math. media type="custom" key="6231301" width="484" height="386"

Here is a video that shows an example of what a slope problem looks like.

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Here is a video that uses the same concept, but adds a challege of finding the variable. media type="youtube" key="dG3HmyJcmJw" height="385" width="480"

Here are some links if you want to learn more about this subject. [] [] ==
 * __ Links __**