Sunday, September 14, 2008

Solving for Slope


The other day we worked on the worksheet, "Solving for Slope". You were given linear equations in Standard Form (Ax + By = C) and asked to convert the equations into Slope-Intercept Form and to determine the slope.

Here is an interactive website that shows you the steps to convert Standard Form linear equations.
http://faculty.ivytech.edu/~wmiley/Stand2Slope/StandToSlope.html

Here is a video demonstration by a teacher converting a Standard Form equation.
http://revver.com/video/521094/converting-to-slope-intercept-form-and-graphing/

Here is a video for those that would like to review Slope-Intercept Form.
http://revver.com/video/248264/slope-intercept-form/

"Solving for Slope" asked some interesting questions regarding the general equation Ax + By = C

  • How could you tell if the line is has a positive or negative slope just by looking at A, B, and C?
  • How could you tell if the line has a positive slope and is steeper than y = x just by looking at A, B, and C?
  • How could you tell if the line has a negative slope and is steeper than y = -x just by looking at A, B, and C?
And finally, could you convert the other way around -- given an equation in Slope-Intercept Form, convert it into Standard-Form?

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