Question

What is the gradient of a line perpendicular to a line with a gradient of 2?

Answer 1

Answer:

- 1/2

Step-by-step explanation:

Slope, m  , is the sama as 'gradient'....

 if slope of one line is m, the perpindicular is -1/m

2      then perpindicular = - 1/2

Answer 2

$\Large\texttt{Answer\::}$

-1/2

$\Large\texttt{Calculations\::}$

If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .

In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :

2 --> -2 --> $-\displaystyle\frac{1}{2}$

So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.

$\footnotesize\texttt{hope\:helpful~}$