Question

What are the coordinates of the point on the directed line segment
from (-1, -8) to (-1,7) that partitions the segment into a ratio of 2
to 3?

Answer 1

Answer:

(-1;-2).

Step-by-step explanation:

if the point A has coordinates (-1;-8), the point B has (-1;7) and the point C is required point, then

1) the 'x' coordinates of the points A and B is '-1', therefore the 'x' coordinate of the point C is '-1', ;

2) the 'y' coordinate of the point C is:

$Y_C=Y_B-\frac{Y_B-Y_A}{2+3} *3=7-9=-2;$

3) finally, the point C has coordinates (-1;-2).