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Math Help - Determine whether the lines are parallel, perpendicular, or neither.

  1. #1
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    Determine whether the lines are parallel, perpendicular, or neither.

    Determine whether the lines are parallel, perpendicular, or neither.


    y=2x+ 4/3 and y= 3/4 -2x

    (4/3 and 3/4 are fractions)
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  2. #2
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    The gradient of a line in the form y = mx + c is "m".
    Parallel lines have equal gradients.
    Perpendicualr lines have gradients which multiply to give -1.
    Anything else is neither.
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  3. #3
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    Quote Originally Posted by bball20 View Post
    Determine whether the lines are parallel, perpendicular, or neither.


    y=2x+ 4/3 and y= 3/4 -2x

    (4/3 and 3/4 are fractions)
    y=\frac{4}{3} + 2x ,\qquad y=\frac{3}{4} - 2x

    Firstly look at the gradient -2 and 2

    Do they multiply togeather to make -1 ?
    If not they are not perpendicular.

    Are thier gradients the same?
    If not, then they are not parallel
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  4. #4
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    So they would be neither because they don't.

    Thanks for your help!!!
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