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

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Answer 1 · 2017-08-05T16:51:40

See a solution process below:

y-intercept

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

$-2y = 6$

Solving for $y$ gives:

$(-2y)/color(red)(-2) = 6/color(red)(-2)$

$(color(red)(cancel(color(black)(-2)))y)/cancel(color(red)(-2)) = -3$

$y = -3$

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

x-intercept

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

$-x = 6$

Solving for $x$ gives:

$color(red)(-1) xx -x = color(red)(-1) xx 6$

$x = -6$

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

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