Answer:
The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)
Explanation:
The dimension of the graph can be taken as 1 box = 1 unit
Therefore;
The coordinates of the point A = (-2, -7)
The coordinates of the point B = (1, 8)
For the a point P that gives the ratio AP to PB = 2:1 is given as follows;
The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB
Which gives;
The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))
P = (0, 3)
Therefore;
The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).