SOLUTION: If f(4)=0 and f(6)=6, which of the following could represent f(x)? A. 2/3 x -4 B. x+2 C. x-4 D. 3/2x + 6 E. 3x - 12

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Question 265365: If f(4)=0 and f(6)=6, which of the following could represent f(x)?
A. 2/3 x -4
B. x+2
C. x-4
D. 3/2x + 6
E. 3x - 12

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If f(4)=0 and f(6)=6, which of the following could represent f(x)?
You have two points: (4,0) and (6,6)
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slope = (6-0)/(6-4) = 3
--------------------
Form is y = mx + b
You have m=3 and y = 0 when x = 4
Solve for "b":
--
0 = 3*4 + b
b = -12
------------------
Equation:
y = 3x -12
-----------------
cheers,
Stan H.
===========================
A. 2/3 x -4
B. x+2
C. x-4
D. 3/2x + 6
E. 3x - 12

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