document.write( "Question 546454: find the equation of a line parallel 3,7 and perpendrcial to 2x+5y-7=0 \n" ); document.write( "
Algebra.Com's Answer #355979 by mananth(16946)\"\" \"About 
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2 x + 5 y = 7
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "5 y = -2 x + 7
\n" ); document.write( "Divide by 5
\n" ); document.write( " y = - 2/ 5 x + 1.4
\n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept
\n" ); document.write( "slope m = - 2/5
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 2.5
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be 2 1/2
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\n" ); document.write( "m= 5/2 ,point ( 3 , 7 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "7 = 7.50 + b
\n" ); document.write( "b= -1/2
\n" ); document.write( "m= 5/2
\n" ); document.write( "The required equation is y = 5/ 2x- 1/ 2\r
\n" ); document.write( "\n" ); document.write( "PARALLEL\r
\n" ); document.write( "\n" ); document.write( "2 x + 5 y = 7
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "5 y = -2 x + 7
\n" ); document.write( "Divide by 5
\n" ); document.write( " y = - 2/5 x + 1.4
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = - 2/5
\n" ); document.write( "The slope of a line parallel to the above line will be the same
\n" ); document.write( "The slope of the required line will be - 2/5
\n" ); document.write( "m= - 2/5 ,point ( 3 , 7 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "7 = -6/ 5 + b
\n" ); document.write( "b= 41/5
\n" ); document.write( "m= - 2/5
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is=> y = - 2/5 x + 41/ 5
\n" ); document.write( " y = - 2/ 5 x + 41/ 5
\n" ); document.write( "m.ananth@hotmail.ca
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