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

Nov 20, 2015

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

Explanation:

The y-intercept is the value of $y$ where the graph crosses the Y-axis. Since a point is on the Y-axis if and only if $x = 0$, another way of say this is that the y-intercept is the value of $y$ when $x = 0$.
$\textcolor{w h i t e}{\text{XXX}} y = \left(0\right) + 2 \Rightarrow y = 2$

$\textcolor{w h i t e}{\text{XXX}}$The y-intercept is $2$

Similarly, the x-intercept is the value of $x$ when $y = 0$.
$\textcolor{w h i t e}{\text{XXX}} 0 = x + 2 \Rightarrow x = \left(- 2\right)$

$\textcolor{w h i t e}{\text{XXX}}$The x-intercept is $\left(- 2\right)$