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  • 22-02-2021
  • Mathematics
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What is the slope of a line perpendicular to a line which has a slope of -2

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Katharinescott218866
Katharinescott218866 Katharinescott218866
  • 22-02-2021

Answer:

it is 1/2

Step-by-step explanation:

The product of a lines slope M and the slope K of a perpendicular is -1:

M*K=-1

This implies

K=-1/M

since

M * -1/M=-1

In our example we are given a line of slope M=-2 therefore the slope K of a line to perpendicular to this line is:

M*K=-1

-2*K=-1

K=-1/-2=1/2

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