Number Theory

First, we must find the slope of the two points. 

Since we have

$\frac{150-17}{82-3} = \frac{133}{79}$

This means for every 133 latice points to the right of 3, you move up 79. 

However, note that when we add 133 to 17, we get $133+17=150$

This means there are no lattice points between $(3, 17), (82, 150)$

So 2 is our answer. 

Thanks! :)

Or 133 and 79 are relatively prime, so 2