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write equation of line described.
\n" ); document.write( "through (-8,-16), parallel to 7x-5y=-16\r
\n" ); document.write( "\n" ); document.write( "The given line is 7x-5y=-16
\n" ); document.write( "That is 7x-5y +16 =0 ----(1)
\n" ); document.write( "Any line parallel to (1) will be of the form
\n" ); document.write( " 7x-5y +k =0 ----(2)
\n" ); document.write( "[every value of k will produce a line in the system (2) which is parallel to (1)
\n" ); document.write( "Our line is parallel to (1) and passes through the fixed point P(-8,-16)
\n" ); document.write( "This means that line in the system (2) which passes through the fixed point
\n" ); document.write( "P(-8,-16)will yield a particular k which when supplied in (2) will give our required line.
\n" ); document.write( "Therefore putting x=-8 and y=-16 in (2)
\n" ); document.write( "7X(-8)-5X(-16) + k = 0
\n" ); document.write( "-56+80+k=0
\n" ); document.write( "24+k=0
\n" ); document.write( "k=-24 ----(*)
\n" ); document.write( "Using (*) in (2),that is putting k=-24 in (2),
\n" ); document.write( "we get the required line given by
\n" ); document.write( "7x-5y-24=0
\n" ); document.write( "Verification: P(-8,-16) should be a point on this line
\n" ); document.write( "Therefore LHS = 7x-5y-24 = 7X(-8) - 5X(-16) -24 = -56+80-24 =80-80= 0 =RHS
\n" ); document.write( "Note:[given a line Ax+By+C=0 any line parallel to this is of the form Ax+By +D=0
\n" ); document.write( "Why are the x and y parts the same?
\n" ); document.write( "It is because when lines are parallel slopes are equal and the equal slope here is (-A/B)]\r
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