document.write( "Question 77587: Find the standard form of the equation of the line with slope 1 and y-intercept 2 \n" ); document.write( "
Algebra.Com's Answer #55670 by bucky(2189)\"\" \"About 
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As a start you can use the slope intercept form of an equation. The slope intercept
\n" ); document.write( "is:
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\n" ); document.write( "y = mx + b
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\n" ); document.write( "where m is the slope and b is the y intercept. The problem tells you that the slope (m)
\n" ); document.write( "is 1 and the y-intercept (b) is 2. Substitute these values to get:
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\n" ); document.write( "y = 1x + 2
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\n" ); document.write( "and you need not show the 1 that multiplies x because the 1 is understood. This means the
\n" ); document.write( "equation is:
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\n" ); document.write( "y = x + 2
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\n" ); document.write( "But this is not in standard form. The standard form of a linear equation is:
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\n" ); document.write( "Ax + By = C
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\n" ); document.write( "Where A, B, and C are constants.
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\n" ); document.write( "To get y = x + 2 into this form, all we need to do is subtract x from both sides so that
\n" ); document.write( "we eliminate the +x from the right side. When we do the subtraction the equation
\n" ); document.write( "becomes:
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\n" ); document.write( "-x + y = 2
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\n" ); document.write( "and if you compare this with the standard form Ax + By = C you will see that it matches
\n" ); document.write( "and that A = -1, B = +1 and C = 2
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\n" ); document.write( "Hope this helps you to understand a way that you can use the slope intercept form of
\n" ); document.write( "an equation and that if you have the slope intercept form, you can rearrange things into
\n" ); document.write( "the standard form of an equation.
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