Question

is 3x = 2y a linear equation?

Answer 1

In order to be linear, the equation needs to be in the following form:

$y=mx+b$

Rewriting the equation 3x = 2y, we have:

$\begin{gathered} 2y=3x \\ y=\frac{3x}{2} \\ y=\frac{3}{2}x+0 \end{gathered}$

The equation can be written in the form y = mx + b (in this case, m = 3/2 and b = 0), so this is a linear equation.