Question

How do you graph the line `y=-x+2`?

Answer 1

I decided that the best way to do this is by using pictures with a bit of explanation

Explanation:

The equation `y=x` is saying: whatever value you decide to give to `x` will also end up being the same value for `y`

Notice that the graph goes upwards as you move from left to right
This is called a positive slope (gradient)
If it had been `y=-x` then the slope would go down as you move from left to right.

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This is what happens when the `x` in the equation is written as `-x`

Negative values of `x` are made positive: Example `y=(-1)xx(-2)=+2`

Positive values of `x` are made negative: Example `y=(-1)xx(2)=-2`

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The equation `y=-x+2` is virtually the same as `y=-x` but the whole thing is lifted up 2