1. **State the problem:** We are given the linear function $y = x + 4$ and want to understand its properties. 2. **Formula and explanation:** This is a linear equation in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, $m = 1$ and $b = 4$. This means the line rises 1 unit vertically for every 1 unit it moves horizontally, and it crosses the y-axis at $y = 4$. 4. **Find x-intercept:** Set $y = 0$ to find the x-intercept: $$0 = x + 4$$ $$x = -4$$ So the x-intercept is at $(-4, 0)$. 5. **Summary:** The line has slope 1, y-intercept at $(0,4)$, and x-intercept at $(-4,0)$. This completes the analysis of the function $y = x + 4$.