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.