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

Feb 27, 2017

x-intercept: $4$
y-intercept: $- 4$
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 $y = 0$
$\left(x - y = 4\right)$ with $y = 0 \rightarrow \left(x - 0 = 4\right) \rightarrow \left(x = 4\right)$
Similarly, the y-intercept is the value of $y$ when $x = 0$
$\left(x - y = 4\right)$ with $x = 0 \rightarrow \left(0 - y = 4\right) \rightarrow \left(y = - 4\right)$