Fiona wrote the linear equation $y=\frac{2}{5} x-5$. When Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona's. Which equation could be Henry's?

A$x-\frac{5}{4} y=\frac{25}{4}$

B$x-\frac{5}{2} y=\frac{25}{4}$

C$x-\frac{5}{4} y=\frac{25}{2}$

D$x-\frac{5}{2} y=\frac{25}{2}$