The point-slope form of a linear equation is given by the formula:
\[ y - y_1 = m(x - x_1) \]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
In this case, the point is \( (5, 1) \) and the slope \( m \) is 3. Substituting these values into the point-slope form, we get:
\[ y - 1 = 3(x - 5) \]
This is the equation of the line in point-slope form.