Final answer:
To find the coordinates of point P on line segment AB, we can use the midpoint formula. The coordinates of point P are (7/2, -1/2).
Step-by-step explanation:
To find the coordinates of point P on line segment AB, we need to determine a point on the line that is located (1/4) of the way along AB from point B. We can use the midpoint formula to find the coordinates of P. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
Given the coordinates of A(9,11) and B(5,-13), we can use the midpoint formula to find the coordinates of P:
x-coordinate of P = (x-coordinate of A + x-coordinate of B) / 4
y-coordinate of P = (y-coordinate of A + y-coordinate of B) / 4
Plugging in the values, we get:
x-coordinate of P = (9 + 5) / 4 = 14 / 4 = 7/2
y-coordinate of P = (11 + (-13)) / 4 = -2 / 4 = -1/2
Therefore, the coordinates of point P are (7/2, -1/2).