Determine in which half-plane the point (3,4) is located with respect to the line y=2x+1

1. Substitute x=3 into the line equation y=2x+1.

y = 2(3) + 1 = 6 + 1 = 7

2. Compare y=7 with the y coordinate of the point, which is 4.

3. Since 4 < 7, the point (3,4) is below the line.

Answer: The point (3,4) is located in the lower half-plane.