document.write( "Question 164058This question is from textbook
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document.write( ": Could you please help me solve this problem. I am confused.
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document.write( "The following equation is given in standard form Ax+By=C. Identify A,B and the slope of this line.\r
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document.write( "2x+3y=9\r
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document.write( "I am confused on what steps to take to solve the problem.\r
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document.write( "Thank you
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document.write( "Cathy \n" );
document.write( "
Algebra.Com's Answer #120889 by nerdybill(7384)![]() ![]() 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) \n" ); document.write( " \n" ); document.write( " |