PLEASE HELP ME SOLVE Write an equation of the line passing through point p(-1,3) that is perpendicular to y=4x-7

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PLEASE HELP ME SOLVE

Write an equation of the line passing through point p(-1,3) that is perpendicular to y=4x-7

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Mackenzie 19 hours 2021-11-25T11:39:35+00:00 1 Answer 0

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    2021-11-25T11:40:47+00:00

    Two lines are perpendicular if their slope m and m’ satisfy the equation

    mm'=-1

    The slope of the given line is 4, because the line is written in the slope-intercept y=mx+q, where m is the slope.

    So, the perpendicular slope is

    4m'=-1 \iff m'=-\dfrac{1}{4}

    So, we want a line with slope -1/4 and passing through (-1,3). We can use the formula

    y-b=m(x-a)

    for the line passing trough (a,b) with slope m:

    y-3=-\dfrac{1}{4}(x+1) \iff y=-\dfrac{1}{4}x-\dfrac{1}{4}+3\iff y=-\dfrac{1}{4}x+\dfrac{11}{4}

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27:3+15-4x7+3-1=? ( )