SOLUTION: Give the equation of the linear function f(x) if f(0) = 4 and f(4) = 0
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Question 159465: Give the equation of the linear function f(x) if f(0) = 4 and f(4) = 0
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Give the equation of the linear function f(x) if f(0) = 4 and f(4) = 0
:
Let y = f(x)
:
y = mx + b
:
When x = 0 and y = 4
4 = m(0) + b
therefore
b = 4
:
So we have y = mx + 4
:
When x = 4 and y = 0
0 = m(4) + 4
therefore:
m = -1
:
f(x) = -1x + 4 is the function
:
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