document.write( "Question 1142403: Find the equation of the line containing the points (4, -2) and (1, 3). \n" ); document.write( "

Algebra.Com's Answer #763093 by Alan3354(69443) $\"\"$ $\"About$

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Find the equation of the line containing the points (4,-2) and (1,3).
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\n" ); document.write( "Don't put a space after the comma.
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\n" ); document.write( "It's not \"the equation\" it's an equation.
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\n" ); document.write( "There's more than 1 way to find them.
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\n" ); document.write( "Find the slope, m
\n" ); document.write( "m = diffy/diffx = 5/-3 = -5/3
\n" ); document.write( "Then, x-x1 = m*(y-y1) where (x1,y1 is either point.
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\n" ); document.write( "x-1 = (-5/3)*(y-3)
\n" ); document.write( "That's an equation.
\n" ); document.write( "1-x = (5y/3) - 5
\n" ); document.write( "That's an equation.
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document.write( "|x   y   1|\r\n" );
document.write( "|4  -2   1| = 0\r\n" );
document.write( "|1   3   1|\r\n" );
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document.write( "x*(-2*1 - 3*1) - y*(4*1 - 1*1) + 1*(4*3 - 1*-2) = 0\r\n" );
document.write( "-5x - 3y + 14 = 0\r\n" );
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\n" ); document.write( "That's an equation.
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\n" ); document.write( "You can check for mistakes.
\n" ); document.write( "Sub for x & y in each equation.\r
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