uhhh- The straight line L, has equation y = 3X – 4. The straight line L2, is perpendicular to L, and passes through the po

Question

uhhh-

The straight line L, has equation y = 3X – 4.
The straight line L2, is perpendicular to L, and passes through the point (9, 5). Find an equation of line L2. Show your working out.

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Latifah 5 years 2021-08-04T13:48:33+00:00 1 Answers 27 views 0

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  1. ngochoa
    0
    2021-08-04T13:50:32+00:00
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    Step-by-step explanation:

    y = mx + c, where m is the slope of the line and c is the y-intercept.

    We have y = 3x – 4 as line L.

    Slope of line L = 3

    => Slope of line L2 = -1/3

    We have y = -1/3 x + c as our line L2 equation.

    When x = 9, y = 5.

    => (5) = -1/3 * (9) + c

    => 5 = c – 3, c = 8

    Hence the answer is y = -1/3 x + 8.

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