To find the equation of the line passing through the points \((4, 6)\) and \((1, 6)\), we start by observing the coordinates of the points. Both points have the same y-coordinate (6), indicating that the line is horizontal.
The general form of the equation for a horizontal line is given by \(y = c\), where \(c\) is the constant y-value for any point on the line.
Since both points have a y-coordinate of 6, the equation of the line is:
\[ y = 6 \]
So, the answer is:
The equation of the line is \(y = 6\).