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!