# Find a formula for a linear function y=f(x) such that f(0)=3 and f(2)=13.

Find a formula for a linear function y=f(x) such that f(0)=3 and f(2)=13.
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Christina Matthews
Let the linear function be, f(x) = ax + b
Now f(0) = 3 implies,
Now f(2) = 13 implies,
2a + b = 13
i.e. 2a + 3 = 13
i.e. 2a = 13 - 3
i.e. 2a = 10
i.e. a = 10/2
i.e. a = 5