Answer :

Given: Vertices of triangle A (6, 7), B (2, –9) and C (–4, 1)

To find the slopes of medians. We need to know the mid–points of AB, BC and AC.

D, E and F are mid–points of AB, BC and AC respectively.

Mid – point formula =

__Mid – point of AB__ =

__Mid – point of BC__ =

__Mid – point of AC__ =

F = (1, 4)

__Slopes of median of triangles:__

Slope of line passing through (x_{1}, y_{1}) and (x_{2}, y_{2}) is

A (6, 7) and E (–1, –4)

__Slope of AE__

B (2, –9) and E (1, 4)

__Slope of BF__

C (–4, 1) and D (4, –1)

__Slope of CD__

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