Question

How do you find the x and y intercept for `x+y=1`?

Answer 1

X-intercept `x=1`
Y-intercept `y=1`

Explanation:

The X-intercept is the value of `x` where the equation crosses the X-axis; since for all points on the X-axis `y=0`, this is the same as saying that the X-intercept is the value of `x` when `y=0`

Evaluating `x+y=1` with `y=0` gives `x=0`

Similarly, the Y-intercept is the value of `y` when `x=0`

Evaluating `x+y=1` with `x=0` gives `y=1`

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Some instructors prefer that these values be specified as coordinates.
In this case:
X-intercept is at `(1,0)`
and
Y-intercept is at `(0,1)`