document.write( "Question 252784: Write an equation of the line through the point (a) parallel and (b)perpendicular to the given line:
\n" ); document.write( "(4,-5) l:-3x+5y=5 \n" ); document.write( "
Algebra.Com's Answer #184862 by palanisamy(496)\"\" \"About 
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The equation of the given line is -3x+5y = 5 ...(1)
\n" ); document.write( "The equation of a line parallel to this line is -3x+5y = k ...(2)
\n" ); document.write( "where k is a constant.
\n" ); document.write( "We are given that this line passes through the point(4,-5)
\n" ); document.write( "Put x=4 and y=-5 in (2)
\n" ); document.write( "We get, -3*4+5*(-5) = k
\n" ); document.write( " -12-25 = k
\n" ); document.write( " k = -37
\n" ); document.write( "Therefore,the equation of a line parallel to the given line through the point(4,-5)is -3x+5y = -37 or 3x-5y=37 ....(3)
\n" ); document.write( "
\n" ); document.write( "Next, the equation of a line perpendicular to the given line is 5x+3y = c ..(4)
\n" ); document.write( "where c is a constant.
\n" ); document.write( "We are given that this line passes through the point(4,-5)
\n" ); document.write( "Put x=4 and y=-5 in (4)
\n" ); document.write( "We get, 5*4+3*(-5) = c
\n" ); document.write( " 20-15 = c
\n" ); document.write( " c = 5
\n" ); document.write( "Therefore,the equation of a line perpedicular to the given line through the point(4,-5)is 5x+3y=5 ....(5) \n" ); document.write( "
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