So,
All we can do is solve for y.
3y - 1 = 19
Add 1 to both sides.
3y = 20
Divide both sides by 3.
[tex]y = \frac{20}{3} \ or\ 6 \frac{2}{3} [/tex]
Apparently, no matter what x is, y will always be 6 2/3.
To find the slope, we divide the rise by the run.
The rise is 0.
The run is anything. It can be 1, 259, 666, 1260, 144,000, or infinity.
However, we must realize that 0 over anything, except zero, is zero.
Therefore, the slope is 0. That is answer option C.
