What is the slope of a line that is perpendicular to the line 2y – 3x = 87​

Question

What is the slope of a line that is perpendicular to the line 2y – 3x = 87​

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Adeline 16 mins 2021-10-13T05:34:40+00:00 1 Answer 0

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    2021-10-13T05:36:34+00:00

    Answer:

    -2/3

    Step-by-step explanation:

    We need to put in slope intercept form..

    Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:

    Let’s do this:

    2y-3x=86

    add 3x on both sides to get 2y by itself

    2y=3x+86

    divide both sides by 2

    y=3/2 x+43

    So the slope is 3/2

    The opposite reciprocal of 3/2 is -2/3 .

    The answer is -2/3

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