Question

How do you find the slope of the line passing through the points (8,5) and (6,2)?

Answer 1

The slope is `3/2` or `1.5`.

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:
`(2-5)/(6-8) = (-3)/-2 = 3/2`

Therefore, the slope is `3/2` or `1.5`.

Hope this helps!

Answer 2

`3/2`

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

We go from `x=8` to `x=6`, which represents a `Deltax` of `-2`.

Therefore, our slope is `-3/-2`, or `3/2`.

Hope this helps!