Answer: (-2, 0)
Step-by-step explanation:
Let's replace y with 0 and solve for x.
-x+6y = 2
-x+6*0 = 2
-x + 0 = 2
-x = 2
x = -2
We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)
This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.
Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.
Each point is of the form (-2+6k, k) where k is any real number. If k = 0, then it leads to (-2,0) found earlier.