Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2: 3

Question

Find the coordinates of the point which divides the join of (&#x2013;1, 7) and (4, &#x2013;3) in the ratio 2: 3

Philoid · Accepted Answer

Let P(x, y) be the required point.

Now,

Using the section formula, we get

x =

= =

= 1

y =

=

= = 3

Therefore, the point is (1, 3)