Question

Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.) (8, −1), (−8, 1)

Answer 1

slope =
`-(1)/(8)`

Explanation:

To find the slope of a line given the coordinates of two points on it, we can use the following formula:

`\boxed{\mathrm{slope = (y_2 - y_1)/(x_2 - x_1)}}`,

where
`(x_1, y_1)` and
`(x_2, y_2)` are the known coordinates.

In this question, if we consider
`(8, -1)` to be
`(x_1, y_1)`, and
`(-8, 1)` to be
`(x_2, y_2)`we can substitute the values into the formula and find the slope:

`{\mathrm{slope = (1 - (-1))/((-8) - 8)}}`

=
`(2)/(-16)`

=
`\bf-(1)/(8)`