Question

Sketch the graph of each line x - 3y = 6

Answer 1

We have to manipulate the equation in order to make it easy to graph:

`\begin{gathered} x-3y=6 \\ -3y=6-x \\ y=(1)/(3)x-2 \end{gathered}`

We now know that the y-intercept is -2.

We also know that y increases by one unit when x increases by 3 units, by the meaning of the slope. We can verify that y=0 when x=6.

Then, with this information (we know 2 points of the line) we can graph: