Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)

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Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)

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    2021-09-09T20:29:07+00:00

    The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

    So, we can make the equation y=2x+b. We need to find b, and put b in.

    To find b, put in the numbers of y and x.

    10=2(-1)+b

    Solve for b:

    10=-2+b\\b=10+2\\b=12

    Now replace b in the original equation with 12 and that will be the answer:

    The answer is y=2x+12.

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