Graph the line. \( y=x \)

To graph the line \( y = x \), start by plotting the origin point at (0, 0), where the line crosses both axes. Then, choose another point, like (1, 1) or (-1, -1), because for any value of \( x \), \( y \) will always be equal. Connect these points with a straight line, and you'll see a diagonal line traveling at a 45-degree angle through the origin, extending infinitely in both directions. Voila! You’ve just created the perfect representation of a line that indicates wherever \( x \) goes, \( y \) follows. It's a perfect embodiment of balance and equality! Keep this graph in mind because it also serves as a wonderful visual reference for various mathematical concepts, such as slope and intercepts.