SAT Mathematics Practice Test 2

Since lines $\mathit{l}$ and $\mathit{k}$ are parallel,the lines have the same slope.Line $\mathit{l}$ passes through the points $\left(-5,0\right)$ and $\left(0,2\right)$, so its slope is $\frac{0-2}{-5-0}$,which is $\frac{2}{5}$.Thw slope of line $\mathit{k}$ must also be $\frac{2}{5}$.Since line $\mathit{k}$ has slope 2/5 and passes through the points $\left(0,-4\right)$ and $\left(\mathit{p},0\right)$,it follows that $\frac{-4-0}{0-\mathit{p}}=\frac{2}{5}$,or$\frac{4}{\mathit{p}}=\frac{2}{5.}$Multiplying each side of$\frac{4}{\mathit{p}}=\frac{2}{5}$ by $5\mathit{p}$ gives $20=2\mathit{p}$,and therefore,$\mathit{p}=10$.
Choices A, B, and C are incorrect and may result from conceptual or calculation errors