1. **State the problem:** We need to find the coordinate of the point that divides the segment between points A and B in the ratio 3:2. 2. **Identify given points:** Point A is at coordinate 2 and point B is at coordinate 8 on the number line. 3. **Formula for partitioning a segment:** If a point P divides the segment AB in the ratio $m:n$, then the coordinate of P is given by: $$ P = \frac{m \times B + n \times A}{m + n} $$ 4. **Apply the formula:** Here, $m=3$, $n=2$, $A=2$, and $B=8$. $$ P = \frac{3 \times 8 + 2 \times 2}{3 + 2} = \frac{24 + 4}{5} = \frac{28}{5} = 5.6 $$ 5. **Interpretation:** The point that divides the segment AB in the ratio 3:2 is at coordinate 5.6. **Final answer:** 5.6