# How to find the x and y-intercept given y=x+2?

May 3, 2015

The x-intercept is the value on the x-axis where the graph of the equation crosses the x-axis.
For all points on the x-axis, $y = 0$

$y = x + 2$
becomes
$0 = x + 2 \text{ on the x-axis}$
$x = - 2$
The x-intercept is $\left(- 2\right)$

Similarly, the y-intercept is the value on the y-axis where the graph of the equation crosses the y-axis.
For all points on the y-axis, $x = 0$

$y = x + 2$
becomes
$y = 0 + 2 \text{ on the y-axis}$
$y = 2$
The y-intercept is $2$