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

Aug 5, 2017

See a solution process below:

#### Explanation:

y-intercept

First, cover up the $- x$ term leaving:

$- 2 y = 6$

Solving for $y$ gives:

$\frac{- 2 y}{\textcolor{red}{- 2}} = \frac{6}{\textcolor{red}{- 2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} y}{\cancel{\textcolor{red}{- 2}}} = - 3$

$y = - 3$

The $y$-intercept is: $- 3$ or $\left(0 , - 3\right)$

x-intercept

Now, cover up the $- 2 y$ term leaving:

$- x = 6$

Solving for $x$ gives:

$\textcolor{red}{- 1} \times - x = \textcolor{red}{- 1} \times 6$

$x = - 6$

The $x$-intercept is: $- 6$ or $\left(- 6 , 0\right)$
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