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2 April, 08:30

If two lines are parrallel do they have the same slope

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  1. 2 April, 08:50
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    Yes, any two parallel lines have the same slope.

    For example, graphing out y = 2x+5 and y = 2x+7 will produce parallel lines (both lines have a slope of 2). The two lines will never cross. Algebraically we can solve this system of equations as follows:

    y = 2x+5 ... start with the first equation

    2x+7 = 2x+5 ... replace y with 2x+7

    2x+7-2x = 2x+5-2x ... subtract 2x from both sides

    2x-2x+7 = 2x-2x+5

    0x+7 = 0x+5

    0+7 = 0+5

    7 = 5 ... we have a contradiction and false statement here

    Because of the false equation in the last line, the original system mentioned above does not have any solutions. A solution to a system is one where the two lines cross.
  2. 2 April, 09:02
    0
    no i dont think so becuse they can still be angeled in all diffrent directions
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