Which equation is not an equation of a line?
$2 x - 3 y = 0$
$\frac{x}{2} - \frac{y}{3} = 1$
$y = x^{2}$
$y + 3 (x - 2) = 0$

Answer

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Answer

$y = x^{2}$ is the equation that is not an equation of a line.

Steps

Step 1 ：Check each equation to see if it can be written in the form $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

Step 2 ：Equation 1: $2 x - 3 y = 0$ 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 $y = m x + b$

Step 5 ：Equation 4: $y + 3 (x - 2) = 0$ can be written as $y = - 3 x + 6$

Step 6 ： $y = x^{2}$ is the equation that is not an equation of a line.