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

Mar 14, 2018

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 $\left(1 , 0\right)$
and
Y-intercept is at $\left(0 , 1\right)$