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

Mar 9, 2018

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 $y = 0 \rightarrow x - 0 = 4 \rightarrow x = 4$

Similarly, the y-intercept it the value of $y$ when $x = 0$
$x - y = 4$ with $x = 0 \rightarrow 0 - y = 4 \rightarrow y = - 4$

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