Question

How do you find the intercepts for `x-y=1`?

Answer 1

The x intercept is 1
The y intercept is (-1)

Explanation:

The value of the x-intercept is the value of `x` when `y=0`.
Stated another way, it is the value of `x` where the line of the equation crosses the x-axis (and all points on the x-axis have `y=0`).
To find the x-intercept, set any occurrences of `y` to `0` and solve for `x`
`color(white)("XXXX")` `x-y = 1`
becomes
`color(white)("XXXX")` `x-0 = 1`
or
`color(white)("XXXX")` `x = 1`

Similarly the value of the y-intercept is the value of `y` when `x=0`.
To find the y-intercept, set any occurrences of `x` to `0` and solve for `y`.