Math

What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y=-2?
A. 2x+3y=5
B. 2x+3y=7
C. -2x=3y=5
D. 3x-2y=-12
I think that the answer is D, but I am not too sure about it.

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  1. Little tricks that can come in handy ...
    For a linear equation ax^2 + bx + c = 0
    the slope is -a/b

    so the slope of the given line is -3/-2 = 3/2
    thus the slope of the new line must be
    -2/3

    But your choice of D has a slope of 3/2, so it can't be D

    so write the given choices into the general form and decide which one has a slope of -2/3

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  2. Ok, thanks so much for the help! =)

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  3. btw, I have a typo, the equation should have said:
    ax + by + c = 0

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