What is the slope of a line that is perpendicular to AB if the coordinates of A are (–4, 1) and the coordinates of B are (1, –1)?

-2/5
5/2
2/5
- 5/2


Respuesta :

Find the slope of line AB first.

AB = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
AB = [tex] \frac{-1 - 1}{1 - -4} [/tex]
AB = [tex] \frac{-2}{5} [/tex]

We know that the slope of the line perpendicular should be opposite and reciprocal. 

SO the answer is 5/2

Hope this helps :)