Question

Point P partitions directed line segment AB in a 1:1 ratio. Find the
coordinates of P, given A (1,6) and B (3,-2).

Answer 1

Answer:

$P(2,2)$

Step-by-step explanation:

we know that

If point P partitions directed line segment AB in a 1:1 ratio

then

point P is the midpoint AB

The formula to calculate the midpoint between two points is equal to

$P(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the given points (A and B)

$P(\frac{1+3}{2},\frac{6-2}{2})$

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

$P(2,2)$