The graph of y = |x + 7| is a V-shaped graph with the vertex at (-7, 0). The graph is symmetric with respect to the y-axis. When x is less than -7, the graph has a negative slope of -1, and when x is greater than -7, the graph has a positive slope of 1. At x = -7, the slope of the graph is undefined, and the graph has a sharp point. Hope this helps!!