Question

How do I find the value of k

Answer 1

so you have to find the equation of the line of both then find the value of k

so f(x) points are (0,1) and (2,6)

hopefully you know how to find a equation of a line between two points
if not i can explain after, most people just want the answer here anyways

y=5/2x+1

g(x) points  (0,-1) and (2,4)
y=3x-2

g(x) =  f(x) + k

5/2x-1= 5/2x+1 + k 
so k = -2

hope this helps