I will assume the line passes through the point (1, 6). This means that when x equals 1, y will equal 6.
In the form y = mx + b, the m stands for slope.
So, the equation will look like y = 1/3 x + b.
You can use the known x and y values you were given to solve for b.
x = 1, y = 6
so
6 = 1/3(1) + b
6 = 1/3 + b
6 - 1/3 = b
b = 5 2/3 = 17/3
Therefore, the equation of the line is
y = 1/3 x + 17/3
Alternatively, you could use point slope form:
y = 1/3 (x - 1) + 6
Distribute the 1/3, and the equations will match.