Let's plot the following equation:

$2x + 3y = 8$

1. First, we need to know $xy$ linear equation is a line

2. A line is determined by two points

Once we have the above two pieces of information, we pretty much know how to solve the problem.

Choose first Point:

Since we know two points determines a line.

We can choose a point.

What point we should choose?

Well, we can choose a very "easy" point.

let $x = 1$, then

$2(1) + 3y = 8$

$\Rightarrow 3y = 6$

$\Rightarrow y = 2$

point: $(x = 1, y = 2)$ is on the line

Choose second point:

How we choose the second point?

Well, We try to choose a "easy" point too.

let $y = 0$

$\Rightarrow 2x + 3(0) = 8$

$\Rightarrow 2x = 8$

$\Rightarrow x = 4$

point: $(x = 4, y = 0)$ is on the line.

Note: when you choose the second point, make sure you choose a different point from the first point.