Question

What is the slope of the line passing through the following points: `(-2, -1), (4, 0)`?

Answer 1

The slope is `1/6`.

Explanation:

The slope equation is `(y_2- y_1)/(x_2- x_1)` with the line going
through the two points of `(x_1, y_1)` and `(x_2, y_2)`.

To find the slope while given two points, just plug in the values.

With the points, `(-2, -1)` and `(4, 0)`, the slope would be

`[0- (-1)]/[4- (-2)]`.

Simplify and because subtracting a negative number is like adding the positive of that number, it can also be written as

`(0+1 )/ (4+ 2)`

Add the terms of the numerator and add the terms of the denominator.

`1/6` is the slope of the line.