Question

The point P (1, 2) divides the line segment joining the points A (-2, 1) and B in the ratio 1: 2 Find the point B.
[4 MARKS]

Answer 1

Formula: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

Let the coordinates of point B be $(a,b)$
P divides line segment AB in the ratio $1:2$
Using section formula, we have
$1=\frac{1\times a-2\times 2}{3}\Rightarrow a=7and2=\frac{1\times b+2\times 1}{3}\Rightarrow b=4$
Hence, the coordinates of the point B are (7, 4)