5y-3x=0

Let's analyze the equation \(5y - 3x = 0\).

1. Express \(y\) in terms of \(x\):

\[ 5y = 3x \] \[ y = \frac{3}{5}x \]

2. Equation of the line:

The line passes through the origin (when \(x=0\), \(y=0\)). The slope of the line is \(\frac{3}{5}\).

3. Graphing:

• Slope: \(\frac{3}{5}\)
• Passes through the origin.

4. Alternative form:

In standard form, the equation remains: \[ 5y - 3x = 0 \] or equivalently: \[ 3x - 5y = 0 \]

If you need further help, such as solving for intersections, plotting, or understanding related concepts, feel free to ask!