Find the point P that is 2/5 of the way from A to B on the directed line segment AB
if A (-8, -2) and B (6, 19)

The point P(–4, 4) that is of the way from A to B on the directed line segment AB.

Solution:

The points of the line segment are A(–8, –2) and B(6, 19).

P is the point that bisect the line segment in .

So, m = 2 and n = 5.

By section formula:

P(x, y) = (–4, 4)

Hence the point P(–4, 4) that is of the way from A to B on the directed line segment AB.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,