Question

Please help me with this geometry question. Answer should be entered like this (answer, answer) thank you

Answer 1

Q is the point (3, 4).

Explanation:

The formulae for the coordinates of a point (h, k) which divides a line joining the points (x1, y1) and (x2, y2) in the ratio m : n is:

h = (mx2 + nx1) / (m + n), k = (my2 + my1)/(m+n)

Now we have S = (x1, y1) = (-2, -6) and T = (x2, y2) = (5, 8) and

m = 5 and n = 2.

So here, for point Q:

h = (5*5) + 2*-2)/(2+5)

= 21/7

= 3.

k = (5*8 + (-6*2) / 7

= 28/7

= 4.