Can you help me find both the x and y intercepts of the equation.

Given: equation is:
[tex]4x+y=5[/tex]For x-intercepts is:
Any graph will intercepts of x then value of y is zero.
[tex]\begin{gathered} 4x+y=5 \\ y=0 \\ 4x+0=5 \\ 4x=5 \\ x=\frac{5}{4} \end{gathered}[/tex]For y-intercepts the value of x is zero.
[tex]\begin{gathered} 4x+y=5 \\ 4\times(0)+y=5 \\ y=5 \end{gathered}[/tex]