2 years ago

If f is a linear function where f(-1) = 4 and f(5)=1, find a formula for f(x).

Mathematics

1 answer:

Svetach [21]2 years ago

4 0

Answer:

f(x) = -0.5x + 3.5

Step-by-step explanation:

f(x) = mx + b

f(-1) = -m + b = 4 ...(1)

f(5) = 5m + b = 1 ...(2)

(1)-(2): -6m = 3 m = -1/2 (-0.5)

b = 4 + (-1/2) = 3.5

Equation: f(x) = -0.5x + 3.5

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