document.write( "Question 639367: Hi! I'm supposed to write an equation for the line. the problem is Through (7,-9), perpendicular to 2x+7y=-49. Please help me! \n" ); document.write( "

Algebra.Com's Answer #402712 by mananth(16946) $\"\"$ $\"About$

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2 x + 7 y = -49
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "7 y = -2 x -49
\n" ); document.write( "Divide by 7
\n" ); document.write( " y = - 2/ 7 x -7
\n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept
\n" ); document.write( "slope m = - 2/7
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\n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 7/2
\n" ); document.write( "Because m1*m2 =-1
\n" ); document.write( "The slope of the required line will be 7/2
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\n" ); document.write( "m= 7/2 ,point ( 7 , -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 = 49/ 2 + b
\n" ); document.write( "b= -67/2
\n" ); document.write( "m= 7/2
\n" ); document.write( "The required equation isy = (7/2)x-67/ 2
\n" ); document.write( "m.ananth@hotmail.ca
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