Question

Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1

what’s the x coordinate of point p?

Answer 1

The x-coordinate of point P is 6

Explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

`AP=(2)/(3) AB`

and

`AP_x=(2)/(3) AB_x`

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

`AB_x=8-2=6\ units`

`AP_x=(2)/(3) (6)=4\ units`

The x-coordinate of P is equal to

`P_x=A_x+AP_x`

where

A_x represent the x-coordinate of A

substitute the values

`P_x=2+4=6`

therefore

The x-coordinate of point P is 6