To find the y-intercept of the line that connects the points (0,5), (3,3), and (6,1), we observe that the first point (0,5) already represents the y-intercept of the line.
In a linear equation of the form \(y = mx + b\), where \(b\) is the y-intercept, the y-coordinate of the point where the line crosses the y-axis (where \(x = 0\)) is the value of \(b\).
Since the first point is (0,5), the y-intercept is \(5\).