# How do you find the intercepts for y = x - 6?

Jun 27, 2015

The x-intercept is 6
The y-intercept is -6

#### Explanation:

The x-intercept is the value of $x$ at the point where the line of the equation crosses the x-axis. Another way of saying this is that it is the value of $x$ when $y = 0$ (since $y = 0$ is the equation of the x-axis).
For the equation:
$\textcolor{w h i t e}{\text{XXXX}}$$y = x - 6$
setting $y = 0$
gives
$\textcolor{w h i t e}{\text{XXXX}}$$0 = x - 6$
or
$\textcolor{w h i t e}{\text{XXXX}}$$x = 6$

Similarly the y-intercept is the value of $y$ from the equation when $x = 0$
$\textcolor{w h i t e}{\text{XXXX}}$$y = x - 6$
becomes
$\textcolor{w h i t e}{\text{XXXX}}$$y = 0 - 6$
or
$\textcolor{w h i t e}{\text{XXXX}}$$y = - 6$