W. Emily was asked to graph the line \( y=2 x \). Which ordered pair represents the \( y \)-intercept of this equation? \( (0,0) \) \( (0,2) \) \( (0,1) \) \( (0,-1) \)

The line \( y = 2x \) has a slope of 2 and passes through the origin, which means that when \( x = 0 \), \( y \) is also 0. Therefore, the ordered pair that represents the \( y \)-intercept is \( (0,0) \). Now let’s think about y-intercepts! They tell us where a line crosses the y-axis, which is a real game-changer in graphing. For \( y = 2x \), the origin means it starts off right at the center of the graph! When you plot this line, you’ll see it heads up steeply, showing how quickly \( y \) increases as \( x \) does. Keep practicing, and you’ll be a graphing whiz in no time!