Question

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)

Answer 1

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = $\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}$

                    = -$\frac{16}{8}$

                    = -2

and y = $\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}$

         = $-\frac{40}{8}$

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.