Question

What is the slope of the line passing through the following points: `(1,5), (-1,-3)`?

Answer 1

`4`

Explanation:

Slope (`m`) of line passing through the points `(x_1, y_1)\equiv (1, 5)` & `(x_2, y_2)\equiv (-1, -3)` is given as follows

`m=\frac{y_2-y_1}{x_2-x_1}`

`=\frac{-3-5}{-1-1}`

`=4`

Answer 2

`m=4`

Explanation:

Slope is given by the expression

`(Deltay)/(Deltax)`, where the Greek letter `Delta` (Delta) represents change in.

If that expression seems foreign to you, all it is saying is we find out what our `y` changes by, and divide it by what our `x` changes by.

`y` goes from `5` to `-3`, which represents a change by `-8`, so we can say `Deltay=-8`.

`x` goes from `1` to `-1`. This represents a change by `-2`; We can say

`Deltax=-2`

Now, we divide the two. We get

`4` as our slope.

Hope this helps!