Question

What is the slope of the line passing through the following points: `(3,15) ; (0, -1)`?

Answer 1

The slope is `16/3`.

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:
`(-1-15)/(0-3) = -16/-3 = 16/3`

Therefore, the slope is `16/3`.

Hope this helps!

Answer 2

`16/3`

Explanation:

Slope is given by 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.

`y` goes from `15` to `-1`, which represents a `Deltay` of `-16`.

`x` goes from `3` to `0`, which represents a `Deltax` of `-3`.

Dividing the two, as our slope, we get

`16/3`

Hope this helps!