Question

How do you find the slope and intercept of `y=-x-7`?

Answer 1

Slope: -1

x-intercept: (-7, 0)

y-intercept: (0, -7)

Explanation:

`y = -x - 7`

This equation is in slope-intercept form:

Based on the image, we know that the slope is the value multiplied by `x`, so the slope is `-1`.

We know the `y`-intercept is `b`, or `-7`, so it is at `(0, -7)`.

To find the `x`-intercept, plug in `0` for `y` and solve for `x`:
`0 = -x - 7`

`7 = -x`

`x = -7`

The `x`-intercept is at `(-7, 0)`.'

Hope this helps!

Answer 2

Slope `-1`, `y`-int `-7`, `x`-int `-7`

Explanation:

The good thing is that this equation is in slope-intercept form

`y=mx+b`, with slope `m` and a `y`-intercept of `b`.

By pattern matching, we see that our slope is `-1`, and our `y`-intercept is `-7`.

We can find our `x`-intercept by setting `y` equal to zero. We get

`-x-7=0=>-x=7=>x=-7`

Therefore, our slope is `-1`, our `y`-intercept is `-7`, and our `x`-intercept is `-7`.

Hope this helps!