The y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C
<h3>How to determine the coordinates</h3>
Let's the point that divides the line segment as point S.
We have that,
Point S divides the line segment into ratio 2:3
The ratio 2:3 means that we are to divide the line segment into;
= 2+3
= 5 equal parts.
We then have that the horizontal distance between the two coordinates is 5
The vertical distance between the two coordinates is 10
Now, let's divide both vertical and horizontal distance into five equal parts,
Horizontal distance = 5/5 = 1
Vertical distance = 10/ 5 = 2
The horizontal distance is 1
The vertical distance is 2
For every one unit move to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.
The coordinate of point S that divides the line segment into 2 parts and 3 parts is (-5,5)
Thus, the y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C
Learn more about y -coordinate here:
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