Sketch a graph of each of the following relations. Using the vertical line test, which of thes is NOT a function? x=0 \( \begin{array}{l}2 x+3 y=6 \\ y=0 \\ y=x\end{array} \)

Imagine a graph with a vertical line drawn at \( x = 0 \). This creates a vertical line along the y-axis, meaning every point on this line has coordinates (0, y). Not surprisingly, this fails the vertical line test since any vertical line will intersect it infinitely. Now, for the equation \( 2x + 3y = 6 \), this describes a straight line when graphed. Similarly, \( y = 0 \) is a horizontal line at the x-axis, and \( y = x \) is a diagonal line through the origin. The vertical line test shows that the first equation, \( x = 0 \), is NOT a function, while the other three are indeed functions.