document.write( "Question 82844: This one really confused me - please help!\r
\n" ); document.write( "\n" ); document.write( "Write the equation of the line that satisfies the given condition: contains the point (2,6) and is perpendicular to the line 4x-5y=7.\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #59422 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
Lines that are perpendicular have slopes that are the negative reciprocal of each other:
\n" ); document.write( "For example:
\n" ); document.write( "if slope #1 = 2, then the perpendicular slope = -1/2
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\n" ); document.write( "Line #1
\n" ); document.write( "4x-5y=7 [re-write in the y=mx+b format]
\n" ); document.write( "4x-4x-5y=-4x+7
\n" ); document.write( "-5y=-4x+7
\n" ); document.write( "-5y/-5=-4/-5x+7/-5
\n" ); document.write( "y=4/5x-7/5
\n" ); document.write( "Slope # 1 = 4/5
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\n" ); document.write( "So, slope of Line #2 =-5/4 [because I flipped 4/5 and multiplied it by (-1)]
\n" ); document.write( "y=mx+b [plug-in the values (2, 6) and (m=-5/4) and solve for the b-term]
\n" ); document.write( "6=(-5/4)(2)+b
\n" ); document.write( "6=-5/2+b
\n" ); document.write( "5/2+6=b
\n" ); document.write( "17/2=b
\n" ); document.write( "Plug-in just the values of the slope and the b-term:
\n" ); document.write( "y=-5/4x+17/2
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