document.write( "Question 636050: I need assistance writing slope-intercept form of a line between two given points. An example would be writing slope-intercept form of a line through points (1,-3) and (0,4. \n" ); document.write( "
Algebra.Com's Answer #400688 by Alan3354(69443)\"\" \"About 
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writing slope-intercept form of a line through points (1,-3) and (0,4).
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\n" ); document.write( "Find the slope, m
\n" ); document.write( "m = diffy/diffx = 7/(-1)
\n" ); document.write( "m = -7
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\n" ); document.write( "Use y = mx + b and either point to find b, the y-intercept
\n" ); document.write( "-3 = -7*1 + b
\n" ); document.write( "b = 4
\n" ); document.write( "--> y = -7x + 4
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\n" ); document.write( "If you know determinants:
\n" ); document.write( "|x +y 1|
\n" ); document.write( "|1 -3 1| = 0
\n" ); document.write( "|0 +4 1|
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\n" ); document.write( "(Plus signs for alignment)
\n" ); document.write( "x*(-3 - 4) - y*(1 - 0) + 1*(4 - 0) = 0
\n" ); document.write( "-7x - y + 4 = 0
\n" ); document.write( "y = -7x + 4
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