Question

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?

Answer 1

You know that y decreases by 2 when x increases by 1.

So, (1,7) + (1,-2) = (2,5)
you could also go the other direction the same distance.

Answer 2

for a slope of -2

The y value would increase by 2 and the x value would decrease by 1. This gives us (0,9)

or

The y value would decrease by 2 and the x value would increase by 1 This gives us (2,5)