1. **State the problem:** Find the equation of the line passing through the points $(x-5)$ and $(x-1)$. 2. **Clarify the points:** The points are not fully specified as coordinates. Assuming the points are $(5, y_1)$ and $(1, y_2)$ or the user means points with $x$-coordinates 5 and 1, we need full coordinates to find the line. Since only expressions $(x-5)$ and $(x-1)$ are given, let's interpret them as points $(5,0)$ and $(1,0)$ on the x-axis. 3. **Find the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{1 - 5} = \frac{0}{-4} = 0$$ 4. **Equation of the line:** Since slope $m=0$, the line is horizontal passing through $y=0$. 5. **Final equation:** $$y = 0$$ If the points are different, please provide full coordinates for accurate calculation.