Question

How do you graph `x-y=1` by plotting points?

Answer 1

Look below!

Explanation:

Given equation is `x-y=1`
As I've always stated, we can solve it in a simple 2-step manner, and this manner is the same for all linear equations.

1. Step 1. Take `x=0` and solve for `y`. We will get `0-y=1\impliesy=-1` So the first point of our consideration is `(0,-1)`.
2. Step 2. Next we take `y=0` and solve for `x`. We get `x-0=1\impliesx=1`. So the next point in our consideration is `(1,0)`

So finding these 2 points and joining them through a line, we then extend the line on either sides to whatever length we see fit. So the graph will look a lot like this.
graph{x-y=1 [-2.5, 2.5, -1.25, 1.25]}