This is the "3.6: Parallel Lines in the Coordinate Plane" page of the "Geometry Chapter 3" guide.
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Geometry Chapter 3   Tags: geometry, mahlman, math  

Last Updated: Feb 19, 2014 URL: http://libguides.mpsaz.net/content.php?pid=109598 Print Guide RSS Updates

3.6: Parallel Lines in the Coordinate Plane Print Page
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Theorems

Parallel Lines

Slope: 

            Rise         y2 - y1

            Run         x2 - x1

 

           Examples:

           

               (3, -2) ( 6, 0)

                -2 - 0       -2        2

                 3 - 6       -3        3

Writing Equations:

           y = mx + b

           Parallel Lines have the same slope but different y-intercepts

             

  Examples

  1. Find the equation of a line that is parallel to y = 5x + 7 and goes through (2, 3).

           

y = mx + b

M

B

II have same slope

y = 5 x + 7

My slope is 5

y = 5x - 7 

Plug in the point

and solve for b.

                  (2, 3)             

          y = 5x + b 

          3 = 5(2) + b

          3 = 10 + b

          -7 = b

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