What is the slope of the line perpendicular to #y=12/11x-9 #?
The slope of the line perpendicular to
Perpendicular lines are lines which intersect at a 90 degree angle.
Do you notice anything about these two slopes? We find that the two fractions are "flipped", and one is positive while the other is negative. These are opposite reciprocals.
The positive/negative slopes are the opposite parts, and the "flipping" is the reciprocal part. The slopes of two perpendicular lines should always have a product of
For instance, in the example above,
The easiest way to tell if two lines are perpendicular is to find their slopes and compare them. If they are opposite reciprocals, then the lines are perpendicular.
On a side note, two lines are parallel if their slopes are the same, or equal (such as