Question

What is the slope of the line passing through the following points: #(-1,2) , (2,5) #?

Answer 1

The slope is `1`.

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:
`(5-2)/(2-(-1)) = 3/3 = 1`

Therefore, the slope is `1`.

Hope this helps!

Answer 2

`1`

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=2` to `y=5`, which represents a `Deltay` of `3`.

We go from `x=-1` to `x=2`, which represents a `Deltax` of `3`.

Therefore, our slope is `1`.

Hope this helps!