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Are these parallel, perpendicular, or neither? 2x-y = - 1 and 4x-2y=6

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  1. 8 April, 13:30
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    Parallel

    Step-by-step explanation:

    Parallel lines have equal slopes

    Perpendicular slope have a product = - 1

    the equation of a line in slope-intercept form is

    y = mx + c (m is the slope and c the y-intercept)

    rearrange both equations into this form and compare slopes

    2x - y = - 1 (subtract 2x from both sides)

    - y = - 2x - 1 (multiply through by - 1)

    y = 2x + 1 ← in slope-intercept form

    with slope m = 2

    4x - 2y = 6 (subtract 4x from both sides)

    - 2y = - 4x + 6 (divide all terms by - 2)

    y = 2x - 3 ← in slope-intercept form

    with slope m = 2

    both equations have the same slope, therefore they are parallel
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