If A(3, 4), B(7, –2) and C(–2, –1) are the vertices of a ΔABC, write down the equation of the median through the vertex C.

A(2, 5), B(–1, 2) and C(5, 8) are the vertices of a ΔABC, M is a point on AB such that AM : MB = 1 : 2. Find the co-ordinates of M. Hence, find the equation of the line passing through the points C and M.

ABC is a triangle whose vertices are A(1, –1), B(0, 4) and C(–6, 4). D is the mid-point of BC. Find the :

(i) co-ordinates of D

(ii) equation of the median AD

Find the equation of a line passing through the point (2, 3) and intersecting the line 2x – 3y = 6 on the y-axis.