Question

Line segment AB has endpoints A(6, 1) and B(3, 8). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 2:3.
A) 2 5 , 22 5
B) 34 5 , 9 5
C) 19 5 , 24 5
D) 24 5 , 19 5

Answer 1

The answer is D, i know i just took this

Answer 2

Ratio = 2:3 = 2/5

Distance between the x coordinates: 3
Distance between the y coordinates: 7

x: 3 * 2/5 = 1.2
y: 7 * 2/5 = 2.8

x coordinate of point: 6 - 1.2 = 4.8
y coordinate of point: 1 + 2.8 = 3.8

So the point that divides the segment AB in the ratio of 2:3 is (4.8 , 3.8) or (24/5 , 19/5)

Hope this helps :)