Question

if points (1,4) and (4,2) line on line k. what is the slope of the line that perpendicular to k.

Answer 1

First you have to find the slop of the slop of k.
You find this from:
\[\frac{ \Delta y }{ \Delta x }\]
As slope (or gradient) is just how much y changes with respect to x.
Therefore the slop is =(4-2)/(1-4)
=2/-3
=-2/3

If a line is perpendicular to another the gradients of both lines multiply to -1 (you can look up the reason why if you want its pretty simple)

-2/3 * (gradient of perpindicularline) = -1
gradient of perpindicualr line = 3/2

Answer 2

wow is said slop twice :P i mean slope

Answer 3

And i just mean slope of k, not slope of slope of k. My grammar failed hard