The vertices of triangle PQR are P(2, 1), Q(-2, 3) and R(4, 5). Find equation of the median through the vertices R.

P(2, 1), Q(-2, 3) and R(4, 5)

Midpoint of PQ is

= (0, 2)

Now we have to find the equation of median passing through R i.e. of line AR.

Now equation of line in 2-point form is

y – y₁ =
⇒ y – 2 =
⇒ y – 2 =

⇒ 4y – 8 = 3x
3x = 4y – 8
⇒ 3x – 4y + 8 = 0