1. The problem is to graph the two linear equations: $$y = -x + 5$$ and $$y = -x - 2$$. 2. Both equations are in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. For $$y = -x + 5$$, the slope $$m = -1$$ and the y-intercept $$b = 5$$. 4. For $$y = -x - 2$$, the slope $$m = -1$$ and the y-intercept $$b = -2$$. 5. Since both lines have the same slope, they are parallel and will never intersect. 6. To graph, plot the y-intercepts at (0,5) and (0,-2) and use the slope to find another point by moving down 1 unit and right 1 unit from each intercept. 7. Draw straight lines through these points for each equation. 8. The final graph shows two parallel lines with slope -1, one crossing the y-axis at 5 and the other at -2.