# Find the coordinates of the points which divide the line segment joining A (-2, 2) and B (2, 8) into four equal parts.

Let given coordinates be A(-2, 2) and B (2, 8).

We need to divide AB into 4 equal parts, ie first we need to find midpoint of AB, which will be D and then find out midpoints of AD and DB respectively.

Let required points be C(x1 , y1 ), D(xm , ym ) and E(x , y2 )

By midpoint formula.

x = , y =

For midpoint D of AB,

xm = , ym =

xm = 0 and ym = 5

D(xm , ym ) ≡ (0 , 5)

Now, for midpoint C of AD,

X1 = , y2 =

x1 = -1 and y1 =

C(x1 , y1) ≡ (-1, )

For midpoint E of DB,

X2 = , y2 =

x2 = 1 and y2 =

E(x2 , y2 ) ≡ (1 , )

Hence the co-ordinates of the points are (-1, ) , (0 , 5) and (1 , )

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