document.write( "Question 1049391: I need help figuring out this question we have to find the equation- Contains to (-3,5) and is perpendicular to 2x+3y=7 \n" ); document.write( "

Algebra.Com's Answer #664928 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
First find the slope of your original line.
\n" ); document.write( " $\"2x%2B3y=7\"$
\n" ); document.write( " $\"3y=-2x%2B7\"$
\n" ); document.write( " $\"y=-%282%2F3%29x%2B7%2F3\"$
\n" ); document.write( " $\"m%5B1%5D=-2%2F3\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"m%5B1%5Dm%5B2%5D=-1\"$
\n" ); document.write( " $\"-%282%2F3%29m%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=3%2F2\"$
\n" ); document.write( "So then use the point slope form with this slope and the point,
\n" ); document.write( " $\"y-5=%283%2F2%29%28x-%28-3%29%29\"$
\n" ); document.write( " $\"2y-10=3%28x%2B3%29\"$
\n" ); document.write( " $\"2y-10=3x%2B9\"$
\n" ); document.write( " $\"-3x%2B2y=19\"$
\n" ); document.write( " $\"3x-2y=-19\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

. \n" ); document.write( "

\n" );