The equation \(2x - 3y = 0\) can be rearranged to express one variable in terms of the other. Here's how you can solve for \(y\) in terms of \(x\):
Start with the given equation: \[ 2x - 3y = 0 \]
Add \(3y\) to both sides: \[ 2x = 3y \]
Divide both sides by \(3\) to isolate \(y\): \[ y = \frac{2}{3}x \]
This linear equation represents a straight line with a slope of \(\frac{2}{3}\) and a y-intercept of \(0\) (it passes through the origin).
If you need to solve for \(x\) in terms of \(y\), you can rearrange the equation as follows:
Start again with the equation: \[ 2x - 3y = 0 \]
Add \(3y\) to both sides: \[ 2x = 3y \]
Divide both sides by \(2\): \[ x = \frac{3}{2}y \]
Now, you have both variables expressed in terms of each other. If you have any specific question or need further assistance with this equation, feel free to ask!