Question

How do you find the slope of the line through (0, -2) and (6, -4)?

Answer 1

The line through `(0,-2)` and `(6,-4)` has a slope of `-1/3`

Explanation:

Given two points `(x_1,y_1)` and `(x_2,y_2)` the slope of the line through those points is given by the formula:

`m=(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For the given points this becomes:

`m=(-4 - (-2))/(6-0) = (-2)/(6) = -1/3`