document.write( "Question 729945: (6,-6); 9x+7y=8 write an equations of the line containing the given point and perpendicular to the line \n" ); document.write( "

Algebra.Com's Answer #446500 by mananth(16946) $\"\"$ $\"About$

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9 x + 7 y = 8
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "7 y = -9 x + 8
\n" ); document.write( "Divide by 7
\n" ); document.write( " y = -9/ 7 x + 8/7
\n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept
\n" ); document.write( "slope m = -9/7
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 7/9
\n" ); document.write( "Because m1*m2 =-1
\n" ); document.write( "The slope of the required line will be 7/9
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\n" ); document.write( "m= 7/9 ,point ( 6 , -6 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "-6 = 14/ 3 + b
\n" ); document.write( "b= -32/3
\n" ); document.write( "m= 7/9
\n" ); document.write( "The required equation is y = 7/ 9 x -32/ 3
\n" ); document.write( "m.ananth@hotmail.ca
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