document.write( "Question 173087: Find the standard form of the equation of the line that passes through the points (0, -1) and (8, 8). \n" ); document.write( "
Algebra.Com's Answer #127917 by Alan3354(69443)\"\" \"About 
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Find the standard form of the equation of the line that passes through the points (0, -1) and (8, 8).
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\n" ); document.write( "I know 2 ways to do this.
\n" ); document.write( "One:
\n" ); document.write( "Find the slope, m
\n" ); document.write( "m = (diff in y)/(diff in x)
\n" ); document.write( "m = (8-(-1))/8
\n" ); document.write( "m = 9/8
\n" ); document.write( "Use either point
\n" ); document.write( "y-y1 = m*(x-x1)
\n" ); document.write( "y-8 = (9/8)*(x-8
\n" ); document.write( "y-8 = 9x/8 - 9
\n" ); document.write( "8y - 64 = 9x - 72
\n" ); document.write( "9x - 8y = 8
\n" ); document.write( "Two:
\n" ); document.write( "Use determinants
\n" ); document.write( "|x y +1|
\n" ); document.write( "|0 -1 1| = 0
\n" ); document.write( "|8 +8 1|\r
\n" ); document.write( "\n" ); document.write( "x(-1-8) - y(0-8) +(8) = 0
\n" ); document.write( "-9x +8y = -8
\n" ); document.write( "9x - 8y = 8\r
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