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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:

[tex]mp * mq = -1[/tex]

Substituting values we have:

[tex]2 * mq = -1[/tex]

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

[tex]mq = - \frac {1} {2}[/tex]

Answer:

The slope of line is:

[tex]mq = - \frac {1} {2}[/tex]