The equation you provided is \( y - x = 8 \). This can be rewritten in slope-intercept form (which is \( y = mx + b \)) as follows:
\[ y = x + 8 \]
In this equation, the slope \( m \) is 1, and the y-intercept \( b \) is 8. This means that the line crosses the y-axis at the point (0, 8) and has a slope that indicates it rises 1 unit for every 1 unit it runs to the right.
If you have specific questions about this equation or need further analysis (such as finding specific points on the line, graphing it, or solving for other variables), feel free to ask!