SOLUTION: If a line passes through (3,-1) and has a slope of -1,how would you write the equation?

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Question 1059529: If a line passes through (3,-1) and has a slope of -1,how would you write the equation?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the definition of slope for the unknown point (x,y) and given point (3,-1).

-1=%28y-%28-1%29%29%2F%28x-3%29

-1=%28y%2B1%29%2F%28x-3%29

-1%28x-3%29=y%2B1------------this is by the symmetric property for equality, the point-slope form for the equation.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If a line passes through (3,-1) and has a slope of -1,how would you write the equation?
Use the point-slope formula: y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

y - - 1 = - 1(x - 3) ------ Substituting (3, - 1) for matrix%281%2C5%2C+%22%28%22%2C+x%5B1%5D%2C+%22%2C%22%2C+y%5B1%5D%2C+%22%29%22%29, and - 1 for m

y + 1 = - x + 3 =====> y = - x + 3 - 1 =====> highlight_green%28y+=+-+x+%2B+2%29