Final answer:
The y-intercept of the graph is (0, 4) and there is no horizontal asymptote.
Step-by-step explanation:
The y-intercept of the graph of the function g(x) = 3x + 4 is the point where the line intersects the y-axis. In this case, the y-intercept is the value of g(0), which is 4. So, the y-intercept is (0, 4).
The horizontal asymptote of the function g(x) = 3x + 4 is the horizontal line that the function approaches as x approaches positive or negative infinity. Since the line has a non-zero slope of 3, it does not have a horizontal asymptote.