Suppose We Buy Quantities $x_1$ And $x_2$ , Respectively, of Two Goods $p_{1} x_{1}+p_{2} x_{2}=k$

Multiple Choice

Suppose we buy quantities $x_1$ and $x_2$ , respectively, of two goods.The following graph shows the budget constraint $p_{1} x_{1}+p_{2} x_{2}=k$
, where $P_1$ and $P_2$ are the prices of the two goods and k is the available budget.If the budget is doubled, but prices remain the same, what is the $x_{2}-$
intercept of the new budget constraint?

A) $\frac{2 k}{p_1}$

B) $\frac{2 k}{p_2}$
C) $\frac{k}{2 p_1}$
D) $\frac{k}{2 p_2}$