Section Formula Balance Challenge

Coordinate GeometryStep 1 of 3

Question

Point P divides A(−2,1) and B(10,7) internally in the ratio AP:PB=1:2AP:PB = 1:2. Find P.
A(-2,1)PB(10,7)
AP : PB = 1 : 2

Where should P lie?

What you will learn

Interpret an internal division ratio and apply the section formula with the correct opposite-endpoint weights.

Common mistake to avoid

Attaching each ratio number to the nearest endpoint instead of the opposite endpoint reverses the intended division.

Make this mistake visible
Helpful?