Answer:
(8, 1)
Option 2
Explanation:
Let C be the point that divides AB in the ratio 2:3
The technique to find individual segments is to note that if a line is 2+3 = 5 units long then one segment will be 2/5 and the other segment will be 3/5
2/5 : 3/5 = 2 : 3
Length of segment AB = 14 - 4 = 10 since the y values are the same and it is a horizontal line
So length of segment AC = 2/5 + 10 = 4
TO find the absolute x-value we add this length to the x-coordinate of A: 4 + 4 = 8
The y-coordinate of C = y-coordinate of A = y-coordinate of B = 1
So the point that divides the line segment AB in the ration 2:3 is (8, 1)
This would correspond to the second option