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WARRIOR [948]
3 years ago
8

Write a linear function f with f(-4) = 2 and f(6) =-3​

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

f(x) = - \frac{1}{2} x

Step-by-step explanation:

The standard form for a linear function is

f(x) = ax + b

Using the given values f(- 4) = 2 and f(6) = 3 , then

- 4a + b = 2 → (1)

6a + b = - 3 → (2)

Subtract (2) from (1) term by term to eliminate b

- 10a = 5 ( divide both sides by - 10 )

a = - \frac{1}{2}

Substitute a = - \frac{1}{2} into either of the 2 equations and solve for b

Substituting into (1)

2 + b = 2 ( subtract 2 from both sides )

b = 0

Thus the linear function is

f(x) = - \frac{1}{2} x

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