Question

How do you graph `7x+2y=6` using the intercepts?

Answer 1

See below:

Explanation:

The intercepts are defined as `(x,0)` and `(0,y)`. That means that if we plug in `0` for `y`, when we solve for `x`, we'll get the x-intercept and vice versa.

So make `y=0`

`7x+2(0)=6`

Solve for `x`:

`7x=6`

`x=6/7`

Now make `x=0`:

`7(0)+2y=6`

Now solve for `y`:

`2y=6`

`y=3`

So now we have the points `(6/7,0)` and `(0,3)`. Now just connect the dots. Your graph will look something like this:

graph{7x+2y=6 [-10, 10, -5, 5]}