2x - 6y = 18
We need two points to graph a line. Replacing with x = 0 into the equation, we get:
2(0) - 6y = 18
-6y = 18
y = 18/(-6)
y = -3
Then, the point (0, -3) lies on the line.
Replacing x = 6, we get:
2(6) - 6y = 18
12 - 6y = 18
-6y = 18 - 12
-6y = 6
y = 6/(-6)
y = -1
Then, the point (6, -1) lies on the line.
So, to graph the equation of this line, we need to locate these two points and draw the line that passes through them, as follows: