Question

write a rule for the linear function x-3,0,3,6 and f(x)-1,2,5,8

Answer 1

find the equation of the line between any two points, for example (0,2)and (3, 5)

Answer 2

first the slope, which is 1 because you are going to the right 3 (from 0 to 3) and up 3 (from 2 to 5)
you can also use
\[m=\frac{5-2}{3-0}=\frac{3}{3}=1\]

Answer 3

then to put it in the form
\[y=mx+b\] where \(m\) is the slope and \(b\) is the y - intercept, notice that you have the y intercept already since you have the point (0,2) and so your line is
\[y=x+2\]