Answer:
(11/3, 4)
Step-by-step explanation:
To calculate the coordinates of the point that partitions the line segment in the given ratio, we shall be using the internal division formula.
Mathematically, that is ;
= {(mx2 + nx1/(m+n), (my2 + ny1)/(m + n)}
m and n represents the ratios 1:2
(x1, y1) represents the coordinates of A
(x2,y2) represents the coordinates of B
From the question, let’s list out the individual values;
m = 2
n = 1
x1 = 3
x2 = 4
y1 = 6
y2 = 3
Substituting these values in the equation, we have;
(2(4) + 1(3)/(1+2) , (2(3) + 1(6)/(1 + 2))
= (8 + 3)/3 , (6 + 6)/3)
= (11/3, 12/3)
= (11/3 , 4)
