Answer:
E = (6, -1)
Explanation:
You want endpoint E if point P(3, 0) divides HE in the ratio 2:1.
Dividing point
When HE is divided 2:1 by point P, the coordinates of P are ...
P = (2E +H)/3
End Point
Solving for E, we find ...
3P = 2E +H
3P -H = 2E
E = (3P -H)/2
E = (3(3, 0) -(-3, 2))/2 = (9+3, 0-2)/2 = (6, -1)
The coordinates of E are (6, -1).