The coordinates of the point that divides the line segment directed
from A to B in the ratio of 1 : 2 are (
, 4)
Step-by-step explanation:
If point (x , y) divides a line segment whose endpoints are 
and
at ratio
from
, then
∵ Line segment AB has endpoints A(9 , 3) and B(2 , 6)
∵ Point (x , y) divides the line segment from A to B in the ratio of 1 : 2
∴
= 9 and
= 3
∴
= 2 and
= 6
∴
= 1 : 2
Substitute these values in the rules above to find x and y
∴ 
∴ 
∴ 
∴ x = 
∴ 
∴ 
∴ 
∴ y = 4
The coordinates of the point that divides the line segment directed
from A to B in the ratio of 1 : 2 are (
, 4)
Learn more:
You can learn more about point of division in brainly.com/question/5223123
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