A line connecting (5, 6) to another point has an undefined slope. What is the closest point on this line with whole number coordinates below (5, 6)?

Since this is a ver line, X is 5 for all values of Y:

P1(5,6)
P2(5,7).
P3(5,8).

To find the closest point on the line with whole number coordinates below (5, 6), we first need to determine the equation of the line connecting (5, 6) to the other point.

Since the slope of the line is undefined, it means the line is vertical. In a vertical line, the x-coordinate remains constant while the y-coordinate changes. In this case, the x-coordinate of the line is 5.

So, the equation of the line connecting (5, 6) to the other point can be written as: x = 5. This means that the line consists of all points where the x-coordinate is equal to 5.

To find the closest point with whole number coordinates below (5, 6), we need to find the point on the line where the y-coordinate is an integer smaller than 6.

Since the y-coordinate of (5, 6) is 6, we need to find the y-coordinate of the closest point below 6. In this case, the y-coordinate can be any integer from -∞ to 5 (excluding 6).

However, we are looking for whole number coordinates, so the y-coordinate can be any integer from -∞ to 4 (excluding 5).

Therefore, the closest point on the line with whole number coordinates below (5, 6) is (5, 4).