document.write( "Question 164058This question is from textbook
\n" ); document.write( ": Could you please help me solve this problem. I am confused.
\n" ); document.write( "The following equation is given in standard form Ax+By=C. Identify A,B and the slope of this line.\r
\n" ); document.write( "\n" ); document.write( "2x+3y=9\r
\n" ); document.write( "\n" ); document.write( "I am confused on what steps to take to solve the problem.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "Cathy
\n" ); document.write( "

Algebra.Com's Answer #120889 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Standard form:
\n" ); document.write( "Ax+By=C
\n" ); document.write( "Your equation:
\n" ); document.write( "2x+3y=9
\n" ); document.write( ".
\n" ); document.write( "Direct mapping of the standard form to the given equation gives:
\n" ); document.write( "A = 2
\n" ); document.write( "B = 3
\n" ); document.write( "C = 9
\n" ); document.write( ".
\n" ); document.write( "Now, to fine the slope. Reorder the \"standard form\" into the \"slope-intercept\" form:
\n" ); document.write( "y = mx + b
\n" ); document.write( "where
\n" ); document.write( "m is slope
\n" ); document.write( "b is y-intercept at (0,b)
\n" ); document.write( ".
\n" ); document.write( "Starting with:
\n" ); document.write( "Ax+By=C
\n" ); document.write( "Solve for y:
\n" ); document.write( "Ax+By=C
\n" ); document.write( "Subtract Ax from both sides:
\n" ); document.write( "By= -Ax + C
\n" ); document.write( "Divide both sides by B:
\n" ); document.write( "y = (-A/B)x + C/B
\n" ); document.write( "We \"see\" that the slope (m) is (-A/B)
\n" ); document.write( ".
\n" ); document.write( "Remembering that we had:
\n" ); document.write( "A = 2
\n" ); document.write( "B = 3
\n" ); document.write( "C = 9
\n" ); document.write( ".
\n" ); document.write( "Now we substitute it into:
\n" ); document.write( "slope (m) = (-A/B)
\n" ); document.write( "slope (m) = (-2/3)
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