1. The problem is to analyze the two linear functions: $$y = x + 4$$ and $$y = x - 4$$. 2. These are both linear equations in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. For $$y = x + 4$$, the slope $$m = 1$$ and the y-intercept is $$4$$. 4. For $$y = x - 4$$, the slope $$m = 1$$ and the y-intercept is $$-4$$. 5. Both lines have the same slope, so they are parallel. 6. The y-intercepts differ by 8 units, so the lines are vertically shifted versions of each other. 7. To find the x-intercepts, set $$y=0$$: - For $$y = x + 4$$: $$0 = x + 4 \implies x = -4$$. - For $$y = x - 4$$: $$0 = x - 4 \implies x = 4$$. 8. Summary: Both lines are parallel with slope 1, one crosses the y-axis at 4 and the other at -4, and their x-intercepts are at -4 and 4 respectively.