document.write( "Question 582694: Find an equation of the line that passes through the point (2, 3) and is perpendicular to the line
\n" ); document.write( "4x + 7y − 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #372194 by mananth(16946)\"\" \"About 
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4 x + 7 y = 2
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "7y=-4x +2
\n" ); document.write( "Divide by 7
\n" ); document.write( " y = - 4/ 7 x + 2/7
\n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept
\n" ); document.write( "slope m = - 4/7
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 7/4
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "The slope of the required line will be 1 3/4
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\n" ); document.write( "m= 7/4 ,point ( 2 , 3 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "3 = 7/ 2 + b
\n" ); document.write( "b= - 1/2
\n" ); document.write( "m= 7/4
\n" ); document.write( "The required equation is y = (7/ 4)x- 1/ 2
\n" ); document.write( "m.ananth@hotmail.ca
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