# What are the intercepts of y=2x+6?

May 1, 2018

y-intercept : $6$
x-intercept : $- 3$

#### Explanation:

Interception of $x$ can be found by assuming the value of $y$ to be $0$ since this is how $x$ can intercept $y$, by reaching it's axis with a value of $0$.

Same goes with interception of $y$.

$y = 2 x + 6$

By using the formulae $y = m x + c$
$c$ stands for $y$-intercept
$y$-intercept = 6

To find $x$-intercept, $y = 0$
$0 = 2 x + 6$
$x$-intercept = $- 3$

May 1, 2018

$y$-Int. $= 6$

$x$-Int. =$- 3$

#### Explanation:

To find the $x$ intercept, you let $y = 0$

$2 x + 6 = 0$

Then you minus $6$ on both sides

$2 x = - 6$

Then you divide by $2$ on both sides

$x = - 3$

To find the $y$-intercept, you let $x = 0$

$y = 2 \times 0 + 6$

$y = 0 + 6$

$y = 6$