Final answer:
Graph the equation y < x - 2 by plotting the boundary line y = x - 2 using a dashed line. Then, shade below this line to indicate the area where the inequality is true, and properly label the axes.
Step-by-step explanation:
To graph the equation y < x - 2, one can start by plotting the line y = x - 2 as if the inequality were an equation. This line is the boundary of the inequality's solution set. To plot this line, make a table of values by choosing a few values for x and then calculating the corresponding values for y by simply subtracting 2 from x. These data pairs can then be plotted on a coordinate grid.
The graph of y = x - 2 will be a straight line with a slope of 1, passing through the points where x coordinates are exactly 2 units larger than the y coordinates. To reflect that y is less than (<) x - 2, we typically use a dashed line to indicate that the points on the line are not included in the solution set. After drawing the line, shade the area below it (since y is less than x - 2), representing all the points where the inequality is true.
To label the graph properly, you also need to mark the axes with appropriate scales, usually including the values you used in your data pairs. Label the x-axis and y-axis, and write the inequality next to the shaded area to denote the solution set.