Answer:
[tex] P(2, 3.5) [/tex]
Step-by-step explanation:
If P partitions AB in the ratio 1:1, it means AP = ½ of AB, and PB = ½ of AB.
Therefore, P can be said to be a midpoint between A and B.
To find the coordinates of P, use the midpoint formula:
Midpoint (P) of AB, for A(3, 5) and B(1, 2) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(3, 5) = (x_1, y_1) [/tex]
[tex] B(1, 2) = (x_2, y_2) [/tex]
Plug the values into the formula:
[tex] P(\frac{3 + 1}{2}, \frac{5 + 2}{2}) [/tex]
[tex] P(\frac{4}{2}, \frac{7}{2}) [/tex]
[tex] P(2, 3.5) [/tex]
