Find the slope of any line perpendicular to the line passing through (3,−2) and (12,19)

hazbijav6

hazbijav6

Answered question

2022-09-01

Find the slope of any line perpendicular to the line passing through (3,−2) and (12,19)

Answer & Explanation

Giancarlo Phelps

Giancarlo Phelps

Beginner2022-09-02Added 10 answers

If the two points are ( x 1 , y 1 ) and ( x 2 , y 2 ) , the slope of the line joining them is defined as
y 2 - y 1 x 2 - x 1 or y 1 - y 2 x 1 - x 2
As the points are (3,−2) and (12,19)
the slope of line joining them is 19 - ( - 2 ) 12 - 3 or 21 9
i.e. 7 3
Further product of slopes of two lines perpendicular to each other is −1.
Hence slope of line perpendicular to the line passing through (3,−2) and (12,19) will be - 1 7 3 or - 3 7

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