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How can you determine if two lines are perpendicular?

  • Math -

    find their slopes.
    If the are the opposite reciprocals of each other, they are perpendicular.

    or

    if their product is -1 they are perpendicular.

  • Math -

    thank you, But what if the product is something other than -1 Could it still be perpendicular? Why or Why not?

  • Math -

    nope, if the product is not -1, they are not perpendicular

    If the slopes are opposite reciprocals, their product will always be -1. So that is the basic condition.

    e.g. slope of first = 4/5
    slope of second = -5/4

    (4/5)(-5/4) = -1

  • Math -

    Thank you!

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