document.write( "Question 162486: write thev equation of a line in the form Ax+By=C throgh the point (-5,-3)and perpendicular to the line y= - 2over3x+6 \n" ); document.write( "

Algebra.Com's Answer #119802 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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write the equation of a line in the form Ax+By=C through the point (-5,-3)and perpendicular to the line y= -(2/3)x+6
\n" ); document.write( ":
\n" ); document.write( "Determine the slope m2, the relationship of perpendicular lines: m1*m2=-1
\n" ); document.write( "Let m1 = $\"-2%2F3\"$
\n" ); document.write( " $\"-2%2F3\"$ *m2 = -1
\n" ); document.write( "m2 = -1* $\"-3%2F2\"$
\n" ); document.write( "m2 = $\"3%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope formula
\n" ); document.write( "y - (-3) = $\"3%2F2\"$ (x - (-5)
\n" ); document.write( "y + 3 = $\"3%2F2\"$ (x +5)
\n" ); document.write( "y + 3 = $\"3%2F2\"$ x + $\"15%2F2\"$
\n" ); document.write( "y = $\"3%2F2\"$ x + $\"15%2F2\"$ - 3
\n" ); document.write( "y = $\"3%2F2\"$ x + $\"15%2F2\"$ - $\"6%2F2\"$
\n" ); document.write( "y = $\"3%2F2\"$ x + $\"9%2F2\"$
\n" ); document.write( "Get rid of the denominators multiply equation by 2
\n" ); document.write( "2y = 3x + 9
\n" ); document.write( "arrange in the required format
\n" ); document.write( "-3x + 2y = 9 \n" ); document.write( "

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