y=2x+3 and y=1/2x+6

To find the point of intersection of the two lines given by the equations y=2x+3 and y=1/2x+6, we can set the two equations equal to each other and solve for x.

2x + 3 = (1/2)x + 6
2x - (1/2)x = 6 - 3
(3/2)x = 3
x = 3 * (2/3)
x = 2

Now that we have found the x-coordinate, we can substitute it back into one of the original equations to find the y-coordinate. Let's use y=2x+3.

y = 2(2) + 3
y = 4 + 3
y = 7

Therefore, the point of intersection of the two lines is (2,7).