SOLUTION: Given that f is a linear function for which f(−5) = −21and f(3) = 19,determine f(0).
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Question 513683: Given that f is a linear function for which f(−5) = −21and f(3) = 19,determine f(0).
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We can find the equation of the line by first finding the slope of f, which is
}{3 - (-5)} = 5)
Then we can write in point-slope form.
)
, hence f(0) = 4 (by replacing x with 0 and solving for y).
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Or, we can find the number 5/8 of the way from -21 to 19, because 0 is 5/8 of the way from -5 to 3. It can be seen that 4 is 5/8 of the way from -21 to 19, so f(0) = 4.
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