Question

What is the slope and y-intercept of this line y = –2x + 8?

Answer 1

slope: `-2`

`y`-intercept : `(0, 8)`

Here's how I did it:

Explanation:

This linear equation is in slope-intercept form, or:

From this image, you can see that `m`, or the slope, is the value in front of `x`. In our example, `-2` is multiplying the `x`, so we know that `-2` is the slope.

`y`-intercept refers to the value of `y` when you plug in `0` for `x`.

So let's do that:
`y = -2(0) + 8`

`y = 0 + 8`

`y = 8`

So we know the `y`-intercept is `(0, 8)`.

To conclude:

slope: `-2`

`y`-intercept : `(0, 8)`

Hope this helps!