Graph the equation \( 5 y-4 x=-20 \) and identify the \( y \)-intercept. A. Add \( 4 x \) to both sides. B. Use the distributive law. C. Add 20 to both sides. D. Divide both sides by 4 . Perform the operation determined in the previous step. \( \begin{array}{rl}5 y-4 x=-20 & \text { Divide both } \\ 5 y=4 x-20 & y=(\square) x-\square \\ \text { sides by } 5 \text {. }\end{array} \) \( \begin{array}{l}\text { (Type an integer or a fraction.) }\end{array} \)

To identify the \(y\)-intercept of the equation \(5y - 4x = -20\), let’s first graph the equation step by step. By following the simplified operations you stated: Start with the equation: 1. Add \(4x\) to both sides: \(5y = 4x - 20\) 2. Now, divide both sides by 5: \(y = \frac{4}{5}x - 4\) Now we can recognize that the equation is in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept. Here, the \(y\)-intercept is \(-4\). To graph the equation, start at the point (0, -4) on the \(y\)-axis, then use the slope \(\frac{4}{5}\) to rise 4 units up and run 5 units to the right. This will help you plot another point, and connecting these points will give you the line! Have fun graphing! 🎉