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21 May, 22:02

What is the slope of all lines perpendicular to the line y = (2/3) x+7

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  1. 21 May, 22:05
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    The slope is - 3/2

    Step-by-step explanation:

    A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

    Example: Find the line perpendicular to y = 3x

    First, you flip the sign which makes 3 into - 3

    Next, you make the reciprocal which makes - 3 into - 1/3

    Problem: Find the line perpendicular to y = (2/3) x + 7

    First, you flip the sign which makes 2/3 into - 2/3

    Next, you make the reciprocal which makes - 2/3 into - 3/2

    Answer: The slope is - 3/2
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