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

Sagot :

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

[tex]\Large\texttt{Answer\::}[/tex]

-1/2

[tex]\Large\texttt{Calculations\::}[/tex]

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 --> [tex]-\displaystyle\frac{1}{2}[/tex]

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

[tex]\footnotesize\texttt{hope\:helpful~}[/tex]