Soo need to find the slope of the line perpendicular to y=12/x11−9

Jadon Camacho

Jadon Camacho

Answered question

2022-11-08

Very need to find the slope of the line perpendicular to y = 12 11 x - 9

Answer & Explanation

Patrick Arnold

Patrick Arnold

Beginner2022-11-09Added 21 answers

Perpendicular lines are lines which intersect at a 90 degree angle.
For example, y = 2 5 x + 1 has a slope of 2 5 , and the line y = - 5 2 x + 2 has a slope of - 5 2 .
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 −1.
For instance, in the example above, 2 5 - 5 2 = - 1 , so these are perpendicular lines.
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 y = 1 2 x = 4 and y = 1 2 x - 7 ).

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