Question

Find the point P that partitions the line segment AB given the ratio.

Answer 1

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)