document.write( "Question 338626: Write the equation of the line that passes through (1, 3) and (4, 4) in standard form. \r
\n" ); document.write( "\n" ); document.write( "Please and thank you\r
\n" ); document.write( "\n" ); document.write( "Sincerely
\n" ); document.write( " Alisha \n" ); document.write( "
Algebra.Com's Answer #242758 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Write the equation of the line that passes through (1, 3) and (4, 4) in standard form.
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\n" ); document.write( "Standard form of a line:
\n" ); document.write( "Ax + By = C where A is a positive integer, and B, and C are integers
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\n" ); document.write( "First, determine slope between the two points using:
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( "m = (4-3)/(4-1)
\n" ); document.write( "m = 1/3 (slope)
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\n" ); document.write( "Next, use one of the two points (1,3) and the slope (1/3) and plug it into the \"point-slope\" form:
\n" ); document.write( "y-y1 = m(x-x1)
\n" ); document.write( "y-3 = (1/3)(x-1)
\n" ); document.write( "multiplying both sides by 3:
\n" ); document.write( "3y-9 = x-1
\n" ); document.write( "subtracting x from both sides:
\n" ); document.write( "-x + 3y-9 = -1
\n" ); document.write( "adding 9 to both sides:
\n" ); document.write( "-x + 3y = 8 (this is what they're looking for)\r
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