Question

Consider the graph below if point p partitions ab in the ratio 1:1, what are the coordinates of p

Answer 1

`P(2, 3.5)`

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:

`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

Let
`A(3, 5) = (x_1, y_1)`

`B(1, 2) = (x_2, y_2)`

Plug the values into the formula:

`P((3 + 1)/(2), (5 + 2)/(2))`

`P((4)/(2), (7)/(2))`

`P(2, 3.5)`