# How do you find the intercepts for x-y=1?

Jun 23, 2015

The x intercept is 1
The y intercept is (-1)

#### Explanation:

The value of the x-intercept is the value of $x$ when $y = 0$.
Stated another way, it is the value of $x$ where the line of the equation crosses the x-axis (and all points on the x-axis have $y = 0$).
To find the x-intercept, set any occurrences of $y$ to $0$ and solve for $x$
$\textcolor{w h i t e}{\text{XXXX}}$$x - y = 1$
becomes
$\textcolor{w h i t e}{\text{XXXX}}$$x - 0 = 1$
or
$\textcolor{w h i t e}{\text{XXXX}}$$x = 1$

Similarly the value of the y-intercept is the value of $y$ when $x = 0$.
To find the y-intercept, set any occurrences of $x$ to $0$ and solve for $y$.