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

Given vertices of ΔPQR i.e. P (2, 1), Q (-2, 3) and R (4, 5)

Let RL be the median of vertex R.

So, L is a midpoint of PQ.

We know that the midpoint formula is given by .

L = = (0, 2)

We know that the equation of the line passing through the points (x1, y1) and (x2, y2) is given by   (-4) (y 5) = (-3) (x – 4)

-4y + 20 = -3x + 12

-4y + 20 + 3x 12 = 0

3x 4y + 8 = 0

Ans. The equation of median through the vertex R is 3x – 4y + 8 = 0.

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