What is the slope of a line perpendicular to this line if the slope of a line is 1/3

samuelaplc

samuelaplc

Answered question

2022-09-29

What is the slope of a line perpendicular to this line if the slope of a line is 1/3

Answer & Explanation

Toby Barron

Toby Barron

Beginner2022-09-30Added 7 answers

The slope would be −3. The rule is that the slope of a line perpendicular to a second line is the negative reciprocal of the second line's slope. The negative reciprocal of x, for instance, would be - 1 x .
Diana Lamb

Diana Lamb

Beginner2022-10-01Added 2 answers

Slope of the line = m = 1 3
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane).
On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees
Product of slopes of a pair of perpendicular lines =−1
If m and m' are the slopes of the perpendicular lines, then
m m = - 1
Slope of perpendicular line = - ( 1 m ) = - ( 1 1 3 ) = - 3

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