SOLUTION: Problem: Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0, 2) and is perpendicular to the line with equation 2x-3y=6

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Question 79514: Problem:
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation
2x-3y=6

Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equation
2x-3y=6
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The given equation can be written y=(2x-6)/3 = (2/3)x-2
Its slope is 2/3
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The slope of any line perpendicular to it has slope -3/2.
If that perpendicular line also passes thru (0,2) its
equation is y=(-3/2)x+2 because (0,2) is the y-intercept.
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cheers,
Stan H.