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| Question 614466:  Find an equation in slope-intercept form for the line passing through each pair of points: (-4, 4), (-5, -3)
 Answer by Alan3354(69443)
      (Show Source): 
You can put this solution on YOUR website! Find an equation in slope-intercept form for the line passing through each pair of points: (-4,4), (-5,-3) Don't put a space after the comma.
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 Do it like this one:
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 I need to find the equation of the line that passes through each pai of points and write the answer in standard form
 (-2,-4), (1,-1)
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 Find the slope, m
 m = diffy/diffx = (-4 + 1)/(-2 -1) = -3/-3 = 1
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 Use y = mx + b and either point to find b
 -1 = 1*1 + b
 b = -2
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 y = x - 2
 x - y = 2
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 Using determinants:
 |+x +y 1|
 |-2 -4 1| = 0
 |+1 -1 1|
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 x*(-4+1) - y*(-2-1) + 1*(2+4) = 0
 -3x + 3y = -6
 x - y = 2
 
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