Which equation is not an equation of a line?
\[
2 x-3 y=0
\]
\[
\frac{x}{2}-\frac{y}{3}=1
\]
\[
y=x^{2}
\]
\[
y+3(x-2)=0
\]
\(\boxed{y = x^{2}}\) is the equation that is not an equation of a line.
Step 1 :Check each equation to see if it can be written in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 2 :Equation 1: \(2x - 3y = 0\) can be written as \(y = \frac{2}{3}x\)
Step 3 :Equation 2: \(\frac{x}{2} - \frac{y}{3} = 1\) can be written as \(y = \frac{3}{2}x - 3\)
Step 4 :Equation 3: \(y = x^{2}\) cannot be written in the form \(y = mx + b\)
Step 5 :Equation 4: \(y + 3(x - 2) = 0\) can be written as \(y = -3x + 6\)
Step 6 :\(\boxed{y = x^{2}}\) is the equation that is not an equation of a line.