# What is the slope and intercept of 2x + y = -2?

Nov 14, 2015

Slope $= - 2$,
$y$-intercept $= - 2$,
$x$-intercept $= - 1$.

#### Explanation:

$2 x + y = - 2$.

The equation of a straight line is usually written as:
$y = m x + c$, where m is the gradient and $c$ the $y$-intercept. So, we will put it in that format:
$2 x + y = - 2$,
$y = - 2 x - 2$. So, we know that $m = - 2$ and that the $y$-intercept is at $- 2$.

If we want to know the $x$-intercept, we can simply substitute $y$ by 0 and solve for $x$:
$0 = - 2 x - 2$,
$2 x = - 2$,
$x = - 1$.

Hope it Helps! :D .