document.write( "Question 436791: Write an equation of the given point and perpendicular to the given line.\r
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document.write( "(5,-6);6x+5y=8
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document.write( "The equation of the line is y=? \n" );
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Algebra.Com's Answer #302217 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 6x+5y=8 \n" ); document.write( "Find the slope of this line \n" ); document.write( "5y=-6x-8 \n" ); document.write( "Divide by 5 \n" ); document.write( "y=-1 1/5x-1.6 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m =-1.20 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 0.83 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be 0.83 \n" ); document.write( " \n" ); document.write( "m= 0.83 ,point (5,-6) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-6=4.17+b \n" ); document.write( "b=-10.17 \n" ); document.write( "m=0.83 \n" ); document.write( "The required equation is y=0.83x-10.17 \n" ); document.write( " \n" ); document.write( " |