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6 September, 09:20

Line x is perpendicular to line y is perpendicular to line z. If the slope of line is 4. What is the slope of line z

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  1. 6 September, 10:48
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    See below.

    Step-by-step explanation:

    Assuming "Line x is perpendicular to line y is perpendicular to line z." means:

    x is perpendicular to y y is perpendicular to z

    If the slope of one line is 4 then the perpendicular line has a slope - 1/4. Perpendicular lines have negative reciprocal slopes which multiply to - 1.

    So 4 * - 1/4 = - 1.

    If the slope of x is 4 then the slope of y is - 1/4.

    If the slope of y is - 1/4 then the slope of z is 4.
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