Question

How do you find the slope of the line through the points ( 6, -6) and ( 4, 5)?

Answer 1

The slope is `11/-2` or `-5.5`.

Explanation:

To find the slope given two points, we use the formula `"rise"/"run"`, or `(y_2-y_1)/(x_2-x_1)`.

Plug in the given points into the formula:
`(5-(-6))/(4-6) = 11/-2`

Therefore, the slope is `11/-2` or `-5.5`.

Hope this helps!

Answer 2

`-11/2`

Explanation:

To find the slope between two points, we can use the formula

`(Deltay)/(Deltax)`

Where the Greek letter Delta (`Delta`) is shorthand for "change in".

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

We go from `y=-6` to `y=5`, which represents a `Deltay` of `11`.

We go from `x=6` to `x=4`, which represents a `Deltax` of `-2`.

Therefore, our slope is `-11/2`.

Hope this helps!