Question

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

Answer 1

`\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(1)/(2)`

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

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

Answer 2

- 1/2

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