Graph the equation and identify the \( y \)-intercept. \( y=\frac{1}{4} x \)

To graph the equation \( y = \frac{1}{4} x \), start by plotting the \( y \)-intercept, which is the point where the line crosses the \( y \)-axis. In this case, since there is no constant term added to the equation, the \( y \)-intercept is at the origin, \( (0, 0) \). Next, you can determine another point by choosing a value for \( x \) (e.g., \( x = 4 \)), which gives you \( y = \frac{1}{4}(4) = 1 \). Plot the point \( (4, 1) \), and draw a straight line through these points to complete the graph. The \( y \)-intercept is \( (0, 0) \) in this equation, indicating that when \( x \) is 0, \( y \) is also 0. This point is essential in understanding the line's behavior across the Cartesian plane.