We have a equation of the line y = 1/6*x+5.
We need at least two points to graph the line.
The y-intercept is y(0)=5, so the point (0,5) is part of the line.
We can find another point using a value of x as an input and calculating y.
For example, we can calculate y for x=6:
[tex]y(6)=\frac{1}{6}\cdot6+5=1+5=6[/tex]Then, we know that the point (x,y)=(6,6) belongs to the line.
With these two points we can draw the line as:
