document.write( "Question 564673: in standard form what is an equation that is perpendicular to 5x+y=4 and goes through points (8,9)? \n" ); document.write( "

Algebra.Com's Answer #365423 by mananth(16946) $\"\"$ $\"About$

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5x+y = 4
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "y=-5x+4
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = -5
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 1/5
\n" ); document.write( "m1*m2=-1
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\n" ); document.write( "m= 1/5 ,point (8,9)
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "9=8/5+b
\n" ); document.write( "b= 37/5
\n" ); document.write( "m= 1/5
\n" ); document.write( "The required equation is y= (1/ 5)x+37/ 5
\n" ); document.write( "m.ananth@hotmail.ca
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