Question

How do you graph `2x-6y=6` using intercepts?

Answer 1

The intercepts are the points where `y=0` and `x=0`

Explanation:

The y intercept is where `x=0`. In this case you have `-6y=6` and the value of `y=-1`. So, the point `(0,-1)` is on the line.

Similarly, the x intercept is where `y=0`. In this case `2x=6` and so `x=3`. Then, the point `(3,0)` is on the line. Now you have to mark the two points `(0,-1)` and `(3,0)` and graph the line through them:

graph{1/3x-1 [-10, 10, -5, 5]}