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If the slope of one line is 2, and the other line is perpendicular, the other line's slope is the negative reciprocal of 2, or -1/2 :)

carlosego

For this case we define the following variables:

  • mp: slope of the line p
  • mq: slope of the line q

By definition, since the lines are perpendicular, it follows that:

\(mp * mq = -1\)

Substituting values we have:

\(2 * mq = -1\)

From here, we clear the value of the slope of the line q:

\(mq = - \frac {1} {2}\)

Answer:

The slope of line is:

\(mq = - \frac {1} {2}\)

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