Question

What is the slope of the line passing through the following points: `(9, -10), (14,-6)`?

Answer 1

`4/5`

Explanation:

`(y_2-y_1)/(x_2-x_1)`

In our case, `(x_1,y_1)` is `(9,-10)` and `(x_2,y_2)` is `(14,-6)`.

`(-6-(-10))/(14-9)=4/5`

Hope this helped!!

Answer 2

`4/5`

Explanation:

To find the slope of any line when only the points are given, use the slope formula:

`m = (y_2 - y_1)/(x_2-x_1)`

Call `(9,-10)` Point 1. This means that:

`x_1 = 9`
`y_1 = -10`

Call `(14,-6)` Point 2. This means that:

`x_2 = 14`
`y_2 = -6`

Now substitute those values into the equation:

`m = (y_2 - y_1)/(x_2-x_1)`

`m = ((-6) - (-10))/((14)-(9)`

`m = (-6 + 10 )/(14-9`

`m = (4 )/(5`

The slope of this line is `4/5`.