The equation provided is $y = x + 6$, which is in slope-intercept form ($y = mx + b$), where $m$ is the slope and $b$ is the y-intercept.

Steps to Graph the Line:

1. Identify the Slope ($m$) and Y-Intercept ($b$):

   • $m = 1$: The slope is 1 (rise over run = 1/1).
   • $b = 6$: The y-intercept is 6.

2. Plot the Y-Intercept:

   • Start by plotting the point $(0, 6)$ on the graph (where the line crosses the y-axis).

3. Use the Slope to Plot Another Point:

   • The slope is 1, so from $(0, 6)$, move up 1 unit (rise) and 1 unit to the right (run) to reach $(1, 7)$.

4. Draw the Line:

   • Connect these points with a straight line extending through the graph.

Would you like a detailed explanation of the slope-intercept process, or do you want to explore related concepts?

Five Related Questions:

1. What does the slope represent in real-life scenarios?
2. How do you determine the slope when given two points on a line?
3. What happens to the graph when the slope is negative?
4. How does changing the y-intercept value affect the graph?
5. Can you rewrite this equation in standard form?

Tip:

Always double-check the rise and run for the slope to ensure accuracy in plotting points!