Answer:
9
Step-by-step explanation:
Let's call P the point that divides the directed line segment in a 5:3 ratio
The x-coordinate of P is x1 + k*run
The y-coordinate of P is y1 + k*rise
where x1, y1 are the coordinates of X (the point on the left), these are x1 = -10 and y1 = -1.
k is computed as follows:
k = long part of XY/(long part of XY + short part of XY) = 5/(5+3) = 5/8
The run is the distance between X and Y on the x-axis,
run = 5 - (-10) = 15
The rise is the distance between X and Y on the y-axis,
run = 15 - (-1) = 16
Replacing into the previous equation:
The y-coordinate of the point that divides into a 5:3 ratio is = -1 + (5/8)*16 = 9
