document.write( "Question 147496: two points on a graph. -8 4 and 6 -2. create the equaition that represents the coordinates. \n" ); document.write( "
Algebra.Com's Answer #107876 by Alan3354(69443)\"\" \"About 
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The quickest and easiest way is to use determinants:
\n" ); document.write( "x y 1
\n" ); document.write( "-8 4 1 = 0
\n" ); document.write( "6 -2 1
\n" ); document.write( "-----------
\n" ); document.write( "x*(4 - (-2)) - y*(-8 -6) + 1*(16-24) = 0
\n" ); document.write( "6x + 14y = 8
\n" ); document.write( "3x + 7y = 4
\n" ); document.write( "---------
\n" ); document.write( "Without determinants:
\n" ); document.write( "Find the slope m
\n" ); document.write( "m = (y2 - y1)/(x2 - x1)
\n" ); document.write( "m = (-2 -4)/(6 - (-8))
\n" ); document.write( "m = -6/14
\n" ); document.write( "m = -3/7
\n" ); document.write( "Then use either given point:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - (-2) = (-3/7)*(x - 6)
\n" ); document.write( "y + 2 = (-3x +18)/7
\n" ); document.write( "7y + 14 = -3x + 18
\n" ); document.write( "3x + 7y = 4
\n" ); document.write( "Same answer, more work.\r
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