document.write( "Question 614466: Find an equation in slope-intercept form for the line passing through each pair of points: (-4, 4), (-5, -3) \n" ); document.write( "

Algebra.Com's Answer #386560 by Alan3354(69443) $\"\"$ $\"About$

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Find an equation in slope-intercept form for the line passing through each pair of points: (-4,4), (-5,-3)
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\n" ); document.write( "Do it like this one:
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\n" ); document.write( "I need to find the equation of the line that passes through each pai of points and write the answer in standard form
\n" ); document.write( "(-2,-4), (1,-1)
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\n" ); document.write( "Find the slope, m
\n" ); document.write( "m = diffy/diffx = (-4 + 1)/(-2 -1) = -3/-3 = 1
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\n" ); document.write( "Use y = mx + b and either point to find b
\n" ); document.write( "-1 = 1*1 + b
\n" ); document.write( "b = -2
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\n" ); document.write( "y = x - 2
\n" ); document.write( "x - y = 2
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\n" ); document.write( "Using determinants:
\n" ); document.write( "|+x +y 1|
\n" ); document.write( "|-2 -4 1| = 0
\n" ); document.write( "|+1 -1 1|
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\n" ); document.write( "x*(-4+1) - y*(-2-1) + 1*(2+4) = 0
\n" ); document.write( "-3x + 3y = -6
\n" ); document.write( "x - y = 2
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