Answer:
the coordinates of point M = (2,0)
Step-by-step explanation:
Given;
point S along the segment, = S(4,2)
point Y along the segment, = Y(-4, -6)
ratio of the partition = ¹/₃
total ratio = 1 + 3 = 4
The midpoint of segment SY is calculated as follows;
The coordinates of point M is calculated as follows;
point M divides the segment into 4 equal parts with point O as the mid-point.
M
S--------------|-------------------O-------------------|-------------------Y
|SO| = |OY|
Therefore, the coordinates of point M = (2,0)