document.write( "Question 79514: Problem:
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document.write( "Write the equation of the line L satisfying the given geometric conditions.
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document.write( "L has y-intercept (0, 2) and is perpendicular to the line with equation
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document.write( "2x-3y=6\r
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Algebra.Com's Answer #57067 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation of the line L satisfying the given geometric conditions. \n" ); document.write( "L has y-intercept (0, 2) and is perpendicular to the line with equation \n" ); document.write( "2x-3y=6 \n" ); document.write( "---------- \n" ); document.write( "The given equation can be written y=(2x-6)/3 = (2/3)x-2 \n" ); document.write( "Its slope is 2/3 \n" ); document.write( "------------ \n" ); document.write( "The slope of any line perpendicular to it has slope -3/2. \n" ); document.write( "If that perpendicular line also passes thru (0,2) its \n" ); document.write( "equation is y=(-3/2)x+2 because (0,2) is the y-intercept. \n" ); document.write( "=========== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |