What do I know about Linear Equations?

What do I know about Linear Equations?

1. Forms

   • Slope Intercept
     • y=mx+b
   • Point Slope
     • y-y1 = m(x-x1)
   • Standard
     • Ax+By=C

2. Finding the Slope

   • M = Slope
   • y=MX+b

3. Graphing Coordinates Correctly

   • Ordered Pair: (x1-y1), (x2-x1)
   • The X and Y Axis

4. Examples

   • Ordered Pairs
   • T-Chart
   • Graph

5. Transforming Equations

   • Point Slope to Slope Intercept
     • Step 1: Use Distributive property Ex: y-5 = 3 (x-2) - y-5 = 3x -6 Step 2: Use subtraction or addition property to get y alone on the left. Ex: y-5 = 3x-6 y=3x-1 Step 3: Now you are in Slope Intercept form.
   • Slope Intercept to Standard Form
     • Step 1: Subtract / Add the mx property in the slope interept for on each side. Ex: y = -5x + 3 Step 2: Make sure the slope is positive and if not that multiply (-1) Ex: 5x + y = 3 Step 3: Now you have it in standard form
   • Point slope to standard form.
     • Do the steps from Point slope to slope intercept and then do the slope intercept to the standard for steps and you get from Point Slop to Standard form.

6. Types of Lines

   • Parallel
     • Looks like train tracks, never intercept in its path
   • Perpendicular
     • Looks like an X and intercepts at only one point.
   • Neither
     • Not Parallel or Perpendicular

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