Question

How do you find the x and y intercept given `x-y=4`?

Answer 1

x-intercept at `x=4`
y-intercept at `y=-4`

Explanation:

The x-intercept (point where a graph of the function crosses the X-axis) is the value of `x` when `y=0` (since for all points on the X-axis, `y=0`)
`x-y=4` with `y=0rarr x-0=4 rarr x=4`

Similarly, the y-intercept it the value of `y` when `x=0`
`x-y=4` with `x=0rarr 0-y=4 rarr y=-4`

Note: some instructors prefer to have the x and y intercepts written as coordinate pairs; in this case:
x-intercept is at `(4,0)`
and
y-intercept is at `(0,-4)`