The graph of g(x) = x + 5 is the same as the graph of the parent function f(x) = x, but shifted vertically upwards by 5 units. This means that all the points on the graph of g(x) are 5 units above the corresponding points on the graph of f(x). The slope of g(x) is the same as the slope of f(x), which is 1, so the two graphs are parallel to each other.
