Question

x -2,-1,0,1,2, and y -5,-2,1,4,7

a. Write out an equation for f(x). Assume the function is linear

Answer 1

If it is linear then the general equation for a straight line
y=mx+c
must apply

Take two sets of coordinates and plug these in

-5=-2m+c
-2=-1m+c

solve for m and c

m=3
c=1

check using another set of points

7=2x3+1 which is fine

so equation is

y=3x+1