Question

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answer 1

D

Explanation:

Answer 2

(1.2, –4.7)

Explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

`= [(5* (-8) + 8* 7)/(5 + 8) , (5* (-9) + 8* -2)/(5 + 8)]\\\\= [(16)/(3), (-61)/(13)]`

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct