Find the rate of change and the equation for the following: f(4)=1 and f(8)=7

Answer 1

rate of change= 7-1)/(8-4)=6/4

f(x)=ratechange*x + b
f(4)=6/4 *4 + b or
1=6+b or b=-5

equation: f(x)=6/4 x -5