C2-3: Equations of Linear Functions

Description

Math Mind Map on C2-3: Equations of Linear Functions, created by ejmwatergirl on 05/07/2014.
ejmwatergirl
Mind Map by ejmwatergirl, updated more than 1 year ago
ejmwatergirl
Created by ejmwatergirl almost 11 years ago
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Resource summary

C2-3: Equations of Linear Functions
  1. equations
    1. slope intercept
      1. y=mx+b
      2. point slope
        1. y-y=m(x-x)
        2. vertical
          1. x=a (x intercept)
            1. y=-c/a (general)
            2. horizontal
              1. y=b (y intercept)
                1. y= - c/b
                2. slope
                  1. rise/run or y2-y1/x2-x1
                  2. general
                    1. ax+by+c=0
                    2. standard
                      1. ax+by=c
                    3. vocab
                      1. slope intercept form
                        1. slope point form
                          1. general form
                          2. types of lines
                            1. oblique
                              1. slanted lines that will always intersect both the x and y axis'
                              2. horizontal
                                1. parallel to the x axis and will only have a y intercept
                                2. vertical
                                  1. are parallel to the y axis and only have an x intercept
                                3. Tips
                                  1. given the equation of any straight line we can determine the x and y intercepts by replacing one variable with 0 and solving the other
                                    1. its common to express the equation of a linear function in either point slope or general form
                                      1. unlike oblique and horizontal lines a vertical line is not a function
                                        1. parallel lines have the same slope
                                          1. perpendicular lines are negative reciprocals of each othe
                                            1. you can use any point on the line to find the
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