# How do you find the intercepts for y=2x+6?

Jun 13, 2015

The $y$ intercept is 6, and the $x$ intercept is -3.

#### Explanation:

The intercepts of a graph are the points where the graph crosses the 'x' and 'y' axes. To find the intercepts of a graph, you need to find the values of x and y assuming that y = 0 and x = 0, respectively.

The x-intercept is the point where 'y' is 0. So, take the equation and plug in 0 for 'y'.

$y = 2 x + 6$
$0 = 2 x + 6$
$2 x = - 6$
$x = - 3$

So, the x-intercept is -3.

The y-intercept is the point where 'x' is 0. So, take the equation and plug in 0 for 'x'.

$y = 2 x + 6$
$y = 2 \left(0\right) + 6$
$y = 6$

So, the y-intercept is 6.