A function f : x =ax + b is such that f(1)=9 and f(2)=14. Find the value of a and b

Answer 1

f(x) = ax + b

(1,9) and (2,14) are points on the line y=ax+b

9 = a + b

14= 2a + b

subtract 2nd to last from last equation to get

5 = a

b = 4

f(x) = 5x + 4

a=5, b= 4