Question

Find the slope of a line parallel and perpendicular to the line with given coordinates: (7, -2) and (1, -3).

Answer 1

`m=(1)/(6)` (Parallel)

`m=-6` (Perpendicular)

Explanation:

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Simply plug in the 2 coordinates into the slope formula to find slope m:

`m=(-3-(-2))/(1-7)`

`m=(-3+2)/(-6)`

`m=(-1)/(-6)`

`m=(1)/(6)`

A parallel line always has the same slope as the original.

`m=(1)/(6)` (Original)

`m=(1)/(6)` (Parallel)

A perpendicular line always has the negative reciprocal slope of the original.

`m=(1)/(6)` (Original)

`m=-6` (Perpendicular)