Question

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

Answer 1

Answer:

$P(2, 3.5)$

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:

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

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

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

Plug the values into the formula:

$P(\frac{3 + 1}{2}, \frac{5 + 2}{2})$

$P(\frac{4}{2}, \frac{7}{2})$

$P(2, 3.5)$