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. \( \begin{array}{rl}5 y-4 x=-20 & \text { Divide both } \\ 5 y=4 x-20 & y=(\square) x-\square \\ \text { sides by } 5 \text {. }\end{array} \) \( \begin{array}{l}\text { (Type an integer or a fraction.) }\end{array} \)

It seems that I cannot directly graph the equation here. However, I can guide you on how to graph it manually. ### Steps to Graph the Equation \( 5y - 4x = -20 \) 1. **Plot the \( y \)-intercept:** - The \( y \)-intercept is at the point \( (0, -4) \). Mark this point on the graph. 2. **Use the slope to find another point:** - The slope is \( \frac{4}{5} \). This means that for every 5 units you move to the right (positive \( x \)-direction), you move up 4 units (positive \( y \)-direction). - Starting from the \( y \)-intercept \( (0, -4) \): - Move right 5 units to \( x = 5 \). - Move up 4 units to \( y = 0 \). - This gives you the point \( (5, 0) \). 3. **Draw the line:** - Connect the points \( (0, -4) \) and \( (5, 0) \) with a straight line. This line represents the equation \( 5y - 4x = -20 \). ### Summary - The \( y \)-intercept is \( -4 \). - The graph passes through the points \( (0, -4) \) and \( (5, 0) \). You can use graph paper or a graphing tool to visualize this line accurately. If you have any further questions or need additional assistance, feel free to ask!