To determine if the given equation is a linear equation, let's first see if we can rewrite it in standard form.
Ax+ By= CIn this form, A, B, and C are constants and A and B cannot both be zero.
This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form.
4x-y=8 ⇔ 4x+( -1)y= 8
When written this way, we can see that A= 4, B= -1, and C= 8. Since this equation can be written in standard form, it is linear.