## The ship has coordinates (2,3) the equation of the other line is x+y=2 find the shortest distance from the ship to the line?

**Solution**:

x + y = 2

x + y – 2 = 0

Distance from (2, 3) to the line x + y – 2 = 0

= (2 + 3 – 2)/√(1^2 + 1^2)

= 3/√(1 + 1)

= 3/√2

= (3 × √2)/(√2 × √2)

**= (3√2)/2 units.**

The Answer is **(3√2)/2 units.**