The graph of the equation |x| = 1 is a V-shaped graph, with the vertex at the origin (0, 0) and the arms of the V extending in both the positive and negative directions along the x-axis, intersecting the x-axis at x = -1 and x = 1.
The equation |x| = 1 represents two separate equations: x = 1 and x = -1, where the absolute value of x is equal to 1. The graph of each equation is a vertical line that intersects the x-axis at x = 1 and x = -1, respectively.
Therefore, the graph of the equation |x| = 1 is a combination of two vertical lines, one passing through (1,0) and the other through (-1,0), forming a V-shape at the origin.