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9 April, 10:14

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither

Y = - 1/4x + 8

-2x + 8y = 4

A) parallel

B) perpendicular

C) neither

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Answers (1)
  1. 9 April, 12:20
    0
    C) Neither

    Step-by-step explanation:

    y = - 1/4x + 8

    -2x + 8y = 4

    To compare the slopes we need to convert the second equation to the same form as the first (that is slope/intercept form).

    -2x + 8y = 4

    8y = 2x + 4

    Divide through by 8:-

    y = 1/4 x + 1/2

    The slope of the first line is - 1/4 and its 1/4 for the second line.

    If the slopes were the same the lines would be parallel and if they were perpendicular their product would be = - 1.

    The product is 1/4 * - 1/4 = - 1/16

    So they are neither parallel nor perpendicular.
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