Question

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)?

Answer 1

since the slope is undefined, the line must be vertical.
Clearly the point with integer coordinates just below (5,6) would be (5,5)

Answer 2

A line with a slope of -2 passes through the point (1, 7). What is the closest point on the line above (1, 7) which has whole number coordinates?