Determine the linear function

Question

Determine the linear function  knowing that the slope is 4 and f(13)=20

f(x)=

Answer 1

A linear function has the form

f(x) = mx + b.

If the slope is 4 then,

f(x) = 4x + b

and,

4·13 + b = 20 ⇒ b = -32.

f(x) = 4x - 32.