document.write( "Question 492637: Find and equation of the line through (-5,7) perpendicular to 5x-4y=10 \n" ); document.write( "

Algebra.Com's Answer #335120 by mananth(16949) $\"\"$ $\"About$

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5 x -4 y = 10
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "-4 y = -5 x + 10
\n" ); document.write( "Divide by -4
\n" ); document.write( " y = 1.250 x + -2.5
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m =5/4
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -4/5
\n" ); document.write( "m1*m2=-1
\n" ); document.write( "m= - 4/5 ,point ( -5 , 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 = 4.00 + b
\n" ); document.write( "b= 3
\n" ); document.write( "m= - 4/5
\n" ); document.write( "The required equation is y =- 4/ 5 x + 3
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