1. **State the problem:** Plot the point $(-6, 1)$ on a Cartesian coordinate grid. 2. **Understanding the coordinate system:** The point $(-6, 1)$ means move 6 units to the left on the x-axis (because of the negative sign) and 1 unit up on the y-axis. 3. **Plotting the point:** On the grid, locate $-6$ on the x-axis, then from there move vertically up to $1$ on the y-axis. Mark this point. This completes the plotting of the point $(-6, 1)$.