Question

How do you find the slope given (4,-4) and (4,2)?

Answer 1

The slope is undefined.

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:
`(2-(-4))/(4-4) = 6/0 = "undefined"`

The slope is undefined , meaning that it is a vertical line.

Hope this helps!

Answer 2

Undefined slope

Explanation:

To find the slope for two points, 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, and divide by how much our `x` changes.

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

We stay at `x=4`, so we can say `Deltax=0`. Plugging these into our slope formula, we get

`6/0`

Notice, we are dividing by zero, which means we have a vertical line, which has an undefined slope.

Hope this helps!