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Brochure that has the following problems with solutions.

Find the coordinate of point P that divides the line segment from A(-2,3) and B(1,6) in the ratio
of 1 to 3.

User NadaNK
by
8.3k points

1 Answer

4 votes

Answer:

P ≡
(- (5)/(4), (15)/(4))

Explanation:

The point P divides the line segment from A(-2,3) and B(1,6) in the ratio of 1 : 3.

So, AP : PB = 1 : 3.

Now, the coordinates of point P will be given by
((1 * 1 + 3 * (- 2))/(1 + 3), (1 * 6 + 3 * 3)/(1 + 3))

=
(- (5)/(4), (15)/(4)) (Answer)

Note: Let there are two points with known coordinates
(x_(1),y_(1)) and
(x_(2),y_(2)) and another a point having coordinates (h,k) divides the line joining the two above points internally in the ratio m : n, then (h,k) is given by

(h,k) ≡
((mx_(2) + nx_(1))/(m + n), (my_(2) + ny_(1))/(m + n))

User David Sorkovsky
by
7.9k points

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