A liner rule is of the form y = x+a. The first coordinate in the pair is x. What do you have to add or subtract to/from it to get the second coordinate, which is y?
(-1,-7) y = x + a == -7 = -1 + a
-6 = a. So the equation is y = x -6
(0,-3) y = x + a == -3 = 0 + a == -3 = a. The equation is y = x - 3
(1,1) There is no difference so y=x
(2,5) The difference is 3. y = x+3
(4.13) The difference is 9. y=x+9
(5,17) y=x+12