Question

How do you graph `2y - 6x = 16`?

Answer 1

Simplify the equation so its in terms of y;

graph{y=3x+8 [-10, 10, -10, 10]}

Explanation:

So the equation is

`2y-6x=16`

To get the equation in terms of `y`, isolate the `y` variable by adding `6x` to both sides. Then you will have

`2y=6x+16`

To get `y` alone (without the `2` coefficient), divide by `2` on both sides, to get the equation

`y=3x+8`

Now for graphing. The equation is now in the form of

`y=mx+b`

meaning it is a linear graph (having the shape of a line), so you only need two points to create the complete graph. Plug in some easy points, like `x=0`, where the `y` value would become `8`. So one point is `(0,8)`.

Plug in another point, like `x=1`, so

`y=3+8=11`

making the second point `(1,11)`. Plot those on a graph and connect them with a straight line, giving you the correct graph of `2y-6x=16`.