The x and y coordinates of point P on the directed line segment from A to B are; C: (-1, 2)
Coordinates of Division of a Line
From the graph, we see that the coordinates of A and B of the line segment AB are;
A(9, -8) and B(-6, 7)
Now, we are told that point P divides the line AB into the ratio 2:3.
Thus, the formula to get the coordinates for P is;
x = (m/(m + n))(x₂ - x₁) + x₁
y = (m/(m + n))(y₂ - y₁) + y₁
Thus; (mx₁ + nx₂)/(m + n)
x = (2/3))(-6 - 9) + 9
x = (2/)(-15) + 9
x = -1
y = (2/3))(7 - (-8)) - 8
y = 2
Read more about coordinates of division of a line at; https://brainly.com/question/1430188
