Linear Function 2 has the greater rate of change.
To determine the rate of change of a linear function, we look at the coefficient of the x term. In Linear Function 1, the coefficient of the x term is 1 (since it is x+8), while in Linear Function 2, the coefficient of the x term is 2/2 = 1 (since it passes through the points (2,6) and (4,10)).
Since both functions have the same coefficient of the x term, they have the same rate of change.
Therefore, Linear Function 1 and Linear Function 2 have the same rate of change.