Question

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

Answer 1

graph{x-2y=6 [-25.66, 25.65, -12.83, 12.83]}

Explanation:

above is the graph.
you can convert `x-2y=6` into
`2y=x-6`
then `y=0.5x-3`
0.5 here represents the gradient, which determines the steepness of the line in graph. It is positive, so the line is going up as it goes right.

you can interpret it this way: `y=-3` when `x=0`, and whenever `x` goes to the right (increases) by `1`, `y` increases by `0.5`. This is because the `-3` in the equation represents the value of `y` in the line when `x=0`, AKA. `y`-intercept.

You can also try to find any pair of value for `x` and `y`which suits the equation, and you will find the points of `x` and `y` always on the line in the graph. e.g. `5=0.5 times 16 -3` in which `y=5`, and `x=16`. the point (16,5) is on the graph.

hope this helps ya