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 price of the first good is doubled, but the other values are unchanged, what is the $x_{2}-$
intercept of the new budget constraint?

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

B) $\frac{2 k}{p_{1}}$

C) $\frac{ k}{p_{2}}$
D) $\frac{k}{p_{1}}$