Given points A(1, -2) and B(7, 6), and the ratio AS:SB = 1:2. Let m=1 and n=2. The coordinates of S are given by:

Okay, Mukisa, let's solve Item 3.

a) (i) Find the coordinates of the petrol station S.

Step 1: Use the section formula to find the coordinates of S.
Given points $A(1, -2)$ and $B(7, 6)$, and the ratio $AS:SB = 1:2$. Let $m=1$ and $n=2$. The coordinates of S are given by:

$$S_x = \frac{n x_1 + m x_2}{m+n} = \frac{2(1) + 1(7)}{1+2} = \frac{2+7}{3} = \frac{9}{3} = 3$$ $$$$