Question

What is the slope of the line that goes through `(-4, 6)` and `(4, -3)`?

Answer 1

`-9/8`

Explanation:

The slope `m` of the straight line passing through the points `(x_1, y_1)\equiv(-4, 6)` & `(x_2, y_2)\equiv(4, -3)`

`m=\frac{y_2-y_1}{x_2-x_1}`

`=\frac{-3-6}{4-(-4)}`

`=\frac{-9}{8}`

`=-9/8`

Answer 2

The slope is `-9/8`

Explanation:

To find the slope, we use the formula `m=(y_2-y_1)/(x_2-x_1)`.

`m=((-3)-(6))/((4)-(-4))`

`m=-9/8`

Answer 3

`-9/8`

Explanation:

We can use the formula

`(Deltay)/(Deltax)`, where the Greek letter Delta (`Delta`) is shorthand for "change in".

We just see how much our `y` changes by, and divide it by how much our `x` changes by.

We go from `y=6` to `y=-3`, which represents a `Deltay` of `-9`.

We go from `x=-4` to `x=4`, which represents a `Deltax` of `8`.

Putting it together, we get

`-9/8`

Hope this helps!