document.write( "Question 563826: Write the slope intercept equation for the line that passes through (-2,3) and is perpendicular to 2x-9y=-12 \n" ); document.write( "

Algebra.Com's Answer #365077 by mananth(16946) $\"\"$ $\"About$

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2 x -9 y = -12
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "-9 y = -2 x -12
\n" ); document.write( "Divide by -9
\n" ); document.write( " y = 2/ 9 x + 1 1/3
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope, m=2/9
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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= -9/2 ,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 = 9.00 +b
\n" ); document.write( "b=-6
\n" ); document.write( "m=-9/2
\n" ); document.write( "The required equation is y=-(9/ 2)x-6
\n" ); document.write( "m.ananth@hotmail.ca
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