document.write( "Question 634163: I need to determine the slope and y intercept of the graph of the linear equation 6x-5y+3=2x-2y-6. In addition to solving can you show me the steps I need to be able to solve like problems? I am not understanding my professor nor is the Math 90 book we are using helping.
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Algebra.Com's Answer #399419 by ankor@dixie-net.com(22740)\"\" \"About 
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determine the slope and y intercept of the graph of the linear equation 6x-5y+3=2x-2y-6
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\n" ); document.write( "We want this in the slope/intercept form, y = mx + b
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\n" ); document.write( "6x - 5y + 3 = 2x - 2y - 6
\n" ); document.write( "subtract 6x from both sides
\n" ); document.write( "-5y + 3 = 2x - 6x - 2y - 6
\n" ); document.write( "-5y + 3 = -4x - 2y - 6
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\n" ); document.write( "Add 2y to both sides
\n" ); document.write( "-5y + 2y + 3 = -4x - 6
\n" ); document.write( "-3y + 3 = -4x - 6
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\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "-3y = -4x - 6 - 3
\n" ); document.write( "-3y = -4x - 9
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\n" ); document.write( "y has to be positive, mult both sides by -1
\n" ); document.write( "3y = 4x + 9
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\n" ); document.write( "y has to have a coefficient of 1, divide both sides by 3
\n" ); document.write( "y = \"4%2F3\"x + 3; this is slope intercept form
\n" ); document.write( "therefore
\n" ); document.write( "slope (m) = \"4%2F3\"
\n" ); document.write( "y intercept occurs when x=0, so y intercept = 3
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\n" ); document.write( "The graph of this
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+%284%2F3%29x%2B3%29+\"
\n" ); document.write( "You can see the y axis is intercepted at y=3 and the slope, rises 4 units
\n" ); document.write( " for each 3 units horizontally \n" ); document.write( "
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