If the given equation is a linear equation, it will follow the standard form.
Ax+ By=CIn this form, A, B, and C are constants and A and B cannot both be zero.
Since there is no x-term, A is equal 0 in the standard form.
Writing the given equation this way, we see that something is different.
0x+ 4 y^2=-13
The y-term has an exponent. Because of this, the equation cannot be written in standard form and is not linear.