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16 October, 03:09

Find the slope intercept equation that passes through (-3,8) and is perpendicular to the line with the equation: x-7y=12

A: y=1/7x + 59/7

B: y=-7x - 13

C: y=7x + 29

D: y = - 1/7x + 53/7

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  1. 16 October, 03:50
    0
    C. y = 7x + 29.

    Step-by-step explanation:

    First find the slope of the given line:

    x - 7y = 12

    7y = x - 12

    y = 1/7 x - 12/7

    The slope = 1/7 so the slope of the line perpendicular to this line is

    - 1 / - 1/7 = 7.

    Finding the equation of the required line:

    y - y1 = m (x - x1)

    y1 = 8, m = 7 and x1 = - 3:

    y - 8 = 7 (x + 3)

    y = 7x + 21 + 8

    y = 7x + 29 answer.
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