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

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;

Step-by-step explanation:

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