SOLUTION: How do you find the equation of a line using the information "it passes through (3,-1) and (5,3)?

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Question 257387: How do you find the equation of a line using the information "it passes through (3,-1) and (5,3)?
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here are the points:
(3,-1) and (5,3)
step 1 - find the slope using the formula
m+=+%28y2-y1%29%2F%28x2-x1%29
putting in our coordinates, we get
m+=+%283-%28-1%29%29%2F%285-3%29
which is
m+=+2
step 2 - put slope and a point into the equation
y+=+mx+%2B+b
3+=+5%2A2+%2B+b
solve for b to get
b+=+-7
step 3 - write the answer as
y+=+2x+-+7

Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be(3,-1) and B be(5,3)
The equation of the line through A and B is
(x-3)/(3-5) = (y+1)/(-1-3)
-4(x-3)= (-2)(y+1)
-4x+12 = -2y-2
0 = 4x-2y-2-12
4x-2y-14=0
2x-y-7 = 0