document.write( "Question 192461: Find the equation,in standard form, of the line perpendicular to 2x - 3y = -5 and passing through (3, -2). Write the equation in standard form, with all interger coefficients. \n" ); document.write( "
Algebra.Com's Answer #144519 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Given Line Eqn: 2x - 3y = -5\r
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\n" ); document.write( "\n" ); document.write( "Via Slope-Intercept Form,\"system%28y=mx%2Bb%29\"
\n" ); document.write( "\"2x%2B5=3y\" ----> \"%282x%2B5%29%2F3=cross%283%29y%2Fcross%283%29\"
\n" ); document.write( "\"y=highlight%28%282%2F3%29%29x%2B5%2F3\", where \"Slope=m=2%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "We're looking for the line perpendicular to this, and it's slope is the reverse reciprocal \"m%5B2%5D=-1%2Fm=-1%2F%282%2F3%29=red%28-3%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "So thru point (3,-2), via Slope-Intercept form:\r
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\n" ); document.write( "\n" ); document.write( "\"-2=%28-3%2F2%29%283%29%2Bb\"
\n" ); document.write( "\"-2=-9%2F2%2Bb\"
\n" ); document.write( "\"b=-2%2B9%2F2=%28-4%2B9%29%2F2=5%2F2\", Y-Intercept (0,5/2) or (0,2.5)\r
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\n" ); document.write( "\n" ); document.write( "It follows ---> \"red%28y=%28-3%2F2%29x%2B5%2F2%29\",---> \"%283%2F2%29x%2By=5%2F2\" ---> \"red%283x%2B2y=5%29\",Answer (Std. Form)\r
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\n" ); document.write( "\n" ); document.write( "We'll see the graph,
\n" ); document.write( " ---> \"red%28RED=2x-3y=-5%29\"; \"green%28GREEN=3x%2B2y=5%29\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo

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