document.write( "Question 583508: Write the slope-intercept equation for the line that passes through (-2, 3) and is perpendicular to 2x – 9y = -1 \n" ); document.write( "

Algebra.Com's Answer #372470 by mananth(16946) $\"\"$ $\"About$

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2 x + -9 y = -1
\n" ); document.write( "Find the slope of this line
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\n" ); document.write( "-9 y = -2 x -1
\n" ); document.write( "Divide by -9
\n" ); document.write( " y = 2/ 9 x + 1/9
\n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept
\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 = -9/2
\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 + 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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