document.write( "Question 1180683: The diagonals of rhombus LMAO intersect at P(4,11). If the equation of the line that contains diagonal LA is Y=2X +3, what is the equation of a line that contains diagonal MO \n" ); document.write( "
Algebra.Com's Answer #810430 by amarjeeth123(570)\"\" \"About 
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The diagonals of rhombus LMAO intersect at P(4,11).
\n" ); document.write( "If the equation of the line that contains diagonal LA is Y=2X +3
\n" ); document.write( "In a rhombus,the diagonals are perpendicular to each other.
\n" ); document.write( "The equation of the first diagonal LA is Y=2X+3
\n" ); document.write( "Comparing this with the equation y=mx+c we get,
\n" ); document.write( "Slope of the first diagonal m1=2
\n" ); document.write( "y-intercept c1=3
\n" ); document.write( "Since the diagonals are perpendicular, slope of the second diagonal m2=(-1/2).
\n" ); document.write( "Let the equation of the second diagonal be y=(-1/2)x+c2 where c2 is a constant.
\n" ); document.write( "Since it passes through the point P(4,11) we have
\n" ); document.write( "11=-2+c2
\n" ); document.write( "c2=13
\n" ); document.write( "The equation of the line that contains the other diagonal MO is y=(-1/2)x+13
\n" ); document.write( "Multiplying by 2 on both sides we get,
\n" ); document.write( "2y=-x+26
\n" ); document.write( "x+2y=26
\n" ); document.write( "x+2y-26=0
\n" ); document.write( "Answer is x+2y-26=0 \n" ); document.write( "
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