Find the slope of any line perpendicular to the line passing through (−3,1) and (−6,12)

Madison Costa 2022-11-21 Answered
Find the slope of any line perpendicular to the line passing through (−3,1) and (−6,12)
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Answers (1)

Gwendolyn Alexander
Answered 2022-11-22 Author has 16 answers
First, let's find the slope through the given two points: y 2 - y 1 x 2 - x 1 , where there are two points ( x 1 , y 1 ) and ( x 2 , y 2 ) :
12 - 1 - 6 - ( - 3 )
11 - 3
- 11 3
Perpendicular slopes are opposite reciprocals of one another:
Opposites: put a negative sign in front of a positive number or take away a negative sign from a negative number (ex. - 3 , 3 , 7 11 , - 7 11
Reciprocals: flip the numerator and denominator (ex. 12 5 , 5 12 , 4 , 1 4 )
The opposite of - 11 3 is 11 3
The reciprocal of 11 3 is 3 11
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