# How do you find the x and y intercepts for 2x+y=14?

##### 2 Answers
Apr 6, 2018

$x = 7 y = 14$

#### Explanation:

The intercepts are where the graph crosses the two axes.
The $y$ axis is the line $x = 0$
The $x$ axis is the line $y = 0$
So substitute the values $x = 0 \mathmr{and} y = 0$

$2 x + 0 = 14$.
$2 x = 14$.
$x = 14$

$0 + y = 14$
$y = 14$

Apr 6, 2018

$x = 7$
$y = 14$

#### Explanation:

it intercepts the $y$ axis when the $x$ equal to zero.

$2 \left(0\right) + y = 14$

at $y = 14$

it intercepts the $x$ axis when the $y$ equal to zero.

$2 \left(x\right) + 0 = 14$

$x = 7$