Question

How do you find the x and y intercepts of `x-y=4`?

Answer 1

x-intercept: `4`
y-intercept: `-4`

Explanation:

The x-intercept is the value of `x` where the equation crosses the X-axis; note that the X-axis is the collection of points for which `y=0`, so another way of saying this is: the x-intercept is the value of `x` when `y=0`
`(x-y=4)` with `y=0 rarr (x-0=4) rarr (x=4)`

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