Given: Point (4,2) and the line joining the points (4, 1) and (2, 3)

To find: The distance of the point (4,2) from the line joining the points (4, 1) and (2, 3)

Formula used:

The equation of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

Here x₁ =4 y₁ =1 and x₂ =2 y₂ =3

The equation of the line is

Formula used:

We know that the distance between a point P (m,n) and a line ax + by + c = 0 is given by,

D

The equation of the line is

Here m = 4 and n = 2 , a = 1 , b = 1 , c = -5

D

D

D

The distance of the point (4,2) from the line joining the points (4, 1) and (2, 3) is units