# How do you find the x and y intercepts for y= x+2?

Feb 14, 2016

x-intercept: $\left(- 2\right)$
y-intercept: $\left(+ 2\right)$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} y = x + 2$ with $y = 0$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow 0 = x + 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = - 2$

The y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} y = x + 2$ with $x = 0$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = 0 + 2$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = 2$

Occasionally you may get a teacher who wants the intercepts expressed as
(1) coordinates
$\textcolor{w h i t e}{\text{XXX}}$in which case the x-intercept is at $\left(- 2 , 0\right)$
$\textcolor{w h i t e}{\text{XXX}}$and the y-intercept is at $\left(0 , 2\right)$
or
(2) an equation
$\textcolor{w h i t e}{\text{XXX}}$in which case the x-intercept is $x = - 2$
$\textcolor{w h i t e}{\text{XXX}}$and the y-intercept is $y = 2$