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

Answer 1

Answer:

The x-coordinate of point P is 6

Step-by-step 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

$AP=\frac{2}{3} AB$

and

$AP_x=\frac{2}{3} AB_x$

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

$AB_x=8-2=6\ units$

$AP_x=\frac{2}{3} (6)=4\ units$

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