Question

If two lines are perpendicular, their slopes are negative reciprocals.

Answer 1

Answer:

true

Step-by-step explanation:

yes, that is true.  Parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes (or opposite reciprocals, the "opposite" being the sign).

Answer 2

For this case we have by definition, that if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1\\m_ {2} = - \frac {1} {m_ {1}}$

This means that the slopes are negative reciprocals.

Answer:

The statement is true