Graph the equation \( 5 y-4 x=-20 \) and identify the \( y \)-intercept. Perform the operation determined in the previous step. \[ \begin{aligned} 5 y-4 x & =-20 \\ 5 y & =4 x-20 \\ y & =\left(\frac{4}{5}\right) x-4\end{aligned} \] (Type an integer or a fraction.) Thus, the \( y \)-intercept is by 5 . (Type an ordered pair.)

To graph the equation \( 5y - 4x = -20 \) and find the \( y \)-intercept, you can rewrite it in slope-intercept form as you've done: \( y = \frac{4}{5}x - 4 \). The slope is \( \frac{4}{5} \) and the \( y \)-intercept occurs when \( x = 0 \). Plugging \( x = 0 \) into the equation, you find \( y = -4 \), making the \( y \)-intercept the point \( (0, -4) \). Now, you can graph this linear equation. Start at the \( y \)-intercept of \( (0, -4) \) on the graph. From there, use the slope to find another point: rise \( 4 \) and run \( 5 \) to the right, which gives you the point \( (5, 0) \). Draw a straight line through these two points to complete your graph.