Question

What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B?

(1, 5)

(0, 3)
(–4, –5)
(–5, –7)

Answer 1

point P is (-4,-5)

Explanation:

Answer 2

P=(-4,-5)

Explanation:

we are given

point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B

It means that point P divides line segment AB into 1:2 form

A=(-8,-13)

B=(4,11)

4=-8+12

11=-13+24

It means that x-value increases by 12 units

y-value increases by 24 units

P is 1/3 the length of the line segment from A to B

`x=-8+(1)/(3)* 12`

`x=-4`

`y=-13+(1)/(3)* 24`

`y=-13+8`

`y=-5`

so, point P is (-4,-5)