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

Answer:

P=(-4,-5)

Step-by-step 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

$x=-8+\frac{1}{3}\times 12$

$x=-4$

$y=-13+\frac{1}{3}\times 24$

$y=-13+8$

$y=-5$

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

Answer 2

Answer:

point P is (-4,-5)

Step-by-step explanation: