Budget line, explicit and implicit

Summary

• The equation of the budget line, $p_1x_1+p_2x_2=m$ , defines an implicit relationship between $x_1$ and $x_2$ .
• Explicit in $x_2:$

$$x_2= \frac{m}{p_2}- \frac{p_1}{p_2}x_1$$

• Explicit in $x_1:$

$$x_1= \frac{m}{p_1}- \frac{p_2}{p_1}x_2$$