SOLUTION: Geometry Equations of Lines The equation of the line containing the points (0,4) and (1,1).

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Question 12704: Geometry Equations of Lines
The equation of the line containing the points (0,4) and (1,1).

Answer by tran3209(100) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of a line passes through two points is Y=aX + b
Let A with A(0,4) and B with B(1,1)
If the line passes through A(0,4), replace y by 4 and X by 0 in the equation:
4 = 0.a + b ---->b = 4
If the line passes through B(1, 1),replace y by 1, X by 1,in the equation, also replace b by 4 in the equation:
1 = (1)(a) + 4 ---> -4+1 = a ---->a = -3
Replace a by -3 and b by 4 in the equation; y=-3x+4
this is the answer: y = -3x + 4