Question

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

Answer 1

See a solution process below:

Explanation:

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)`