Question

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is 3/5 the length of the line segment from K to J?

(40, 96)

(85, 105)

(80, 104)

(96, 72)

the answer 40, 96

Answer 1

(40,96)

Explanation:

Answer 2

option A)

(40, 96)

Explanation:

Given that,

The coordinates of point K and J are

K(160,120)

J(-40,80)

x1 = 160

x2 = -40

y1 = 120

y2 = 80

P is (3/5) the line of the line segment from K to J

So, KP = (3/5) KJ and JP = (2/5) KJ

OR we will divide the length of KJ with the ratio 3 : 2 from K

m : n

3 : 2

m = 3

n = 2

by using this formula and putting values in it

xp = (m/m+n)(x2-x1) + x1

yp = (m/m+n)(y2-y1) + y1

xp = (3/3+2) (-40-160) + 160

yp = (3/3+2) (80-120) + 120

xp = 40

yp = 96