The distance d of a point P to the line through points A and

The distance d of a point P to the line through points A and B is the length of the component of - AP that is orthogonal to - AB, as indicated in the diagram. So the distance from P = (1, 5) to the line through the points A = ( - 2, 2) and B = ( - 4, 4) is .

Solution

eqn of line passin through A and B is

y -2 = 2 ( x+2)
2x -y +6 =0

it passes through P (1,5)

distance= 3/5 = 1.3416