Answer:
The coordinate of the point Z is (4, 5)
Step-by-step explanation:
The given information are;
The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)
The ratio of the partition of the directed line segment QR from Q to R = 1:2
The location of the point at the directed line segment is partitioned = Point Z
Therefore, we have;
The proportion of the partition segment QZ to QR is given as follows;
QZ = 1/(1 + 2) × QR = 1/3·QR
ZR = 2/(1 + 2) × QR = 2/3·QR
Which gives the coordinate of the point Z as follows;
The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)
The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)
The coordinate of the point Z = (4, 5).
