document.write( "Question 441: find the slope and y-intercept of each line. graph the line.
\n" ); document.write( "-x+3y=6
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Algebra.Com's Answer #171 by AnlytcPhil(1806)\"\" \"About 
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>>find the slope and y-intercept of each line. graph the line.
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\n" ); document.write( "-x+3y=6<<
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\n" ); document.write( "To find the slope of a line, solve it for y, which puts it in the form
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "and then the coefficient of x, is the slope m,a nd the number b tells us
\n" ); document.write( "that the y-intercept is (0, b)
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\n" ); document.write( " -x + 3y = 6
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\n" ); document.write( "Add x to both sides
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\n" ); document.write( " 3y = x + 6
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\n" ); document.write( "Multiply every term by 1/3
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\n" ); document.write( " 1/3·3y = 1/3·x + 1/3·6
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\n" ); document.write( " y = 1/3·x + 2
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\n" ); document.write( "This is in the slope-intercept form
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\n" ); document.write( " y = mx + b
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\n" ); document.write( "The coefficient of x is 1/3, so the slope, m, is 1/3
\n" ); document.write( "The term b = 2 tells us that the y-intercept is (0,b) or (0,2)
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\n" ); document.write( "Graph:
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\n" ); document.write( "\"+graph%28100%2C+100%2C+-8%2C+8%2C+-8%2C+8%2C+%28x%2F3%2B2%29%29\"
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\n" ); document.write( "Edwin
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