How to write a linear function with the values f (3) = -4 f (5) = -4

Question

Mathematics

Marc Castaneda

23 June, 17:34

How to write a linear function with the values f (3) = -4 f (5) = -4

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Answers (1)

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Daniel Rose · Answer 1

A linear function: f: R - --> R, f (x) = ax + b;

f (3) = - 1 3a + b = - 1;

f (5) = - 4 5a + b = - 4;

Then, b = - 1 - 3a;

We obtain 5a + (-1-3a) = - 4;

5a - 1 - 3a = - 4;

2a - 1 = - 4;

2a = - 3;

a = - 3/2;

b = - 1 + 9/2;

b = 7/2;

f (x) = (-3/2) x + 7/2;