document.write( "Question 909350: ``I need to write an equation of each line passing through the given point pairs, please help me learn the steps\r
\n" ); document.write( "\n" ); document.write( "(7,3) and (-6,2)''.
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Algebra.Com's Answer #551845 by rothauserc(4718)\"\" \"About 
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2 points determine a line, we are given
\n" ); document.write( "(7,3) and (-6,2)
\n" ); document.write( "the standard form of a line is y = mx + b, where m is the slope and b is the y intercept
\n" ); document.write( "m is defined as (y2 - y1) / (x2 - x1), in our example
\n" ); document.write( "m = (2 - 3) / (-6 -7) = -1/-13 = 1/13
\n" ); document.write( "so far we have
\n" ); document.write( "y = x/13 + b
\n" ); document.write( "to find b we pick a point on the line and solve for b, let's pick the first point, (7,3)
\n" ); document.write( "3 = 7/13 + b
\n" ); document.write( "convert 3 to a fraction of 13's
\n" ); document.write( "39/13 = 7/13 + b
\n" ); document.write( "now subtract 7/13 from both sides of =
\n" ); document.write( "b = 32/13
\n" ); document.write( "the formula for our line is
\n" ); document.write( "y = x/13 + 32/13
\n" ); document.write( "note that there is only one line
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