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What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(40, 96)
(85, 105)
(80, 104)
(96, 72)

Respuesta :

Answer:

(40,96)

Step-by-step explanation:

got it right on edge

The coordinate of P is ( 40 , 96) , Option A is the correct answer.

What are Coordinates ?

Coordinates helps in determination of the position of an object on an x-y plane.

It can be seen form the figure the coordinates of K and J

K ( 160 ,120) & J (-40 , 80)

The coordinates of P can be determined as

[tex]\rm x = \dfrac{m}{m+n} ( x_2 -x_1) + x_1\\\\y = \dfrac{m}{m+n}(y_2 - y_1) + y_1[/tex]

Therefore ,

as the P point divides the line into Three-fifths of the length ,

KP = (3/5)KJ  

JP = (2/5) KJ

which gives the ratio as  3: 2

m :n = 3 :2

x = (3/5) (-40 -160) + (160)

x = 40

y = ( 3/5)(-40) +120

y = 96

Therefore the coordinate of P is ( 40 , 96) , Option A is the correct answer.

To know more about Coordinate

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