Self-enrollment in mathematics: What is the minimum distance from a point of an integer coordinate on a plane to a straight line? 25X- 15Y+ 12=0?

For the straight line ax+by+c=0

Distance formula from point to straight line:

|ax0+by0+c|/√(a^2+b^2)

For this problem, there are

|25X- 15Y+ 12|/5√34

Find the minimum value

Is the minimum value of |25X- 15Y+ 12|.

∵X and y are integer ∴25X- 15Y+ 12 divided by 5 and 2.

And 5-2 = 3 >; 2 (in order to avoid the phenomenon of 4, you need to write)

The minimum value of ∴|25X- 15Y+ 12| is 2.

It can be obtained when x=- 1 and y=- 1.

The minimum distance is 2/5√34=√(34)/8.