Find the slope of any line perpendicular to the line passing through (12,−2) and (7,8)

ramirezherePYM

ramirezherePYM

Answered question

2022-11-24

Find the slope of any line perpendicular to the line passing through (12,−2) and (7,8)

Answer & Explanation

kirakanHK2

kirakanHK2

Beginner2022-11-25Added 10 answers

The slope a line that is perpendicular to a given line would be the inverse slope of the given line
m = a b the perpendicular slope would be m = - b a
The formula for the slope of a line based upon two coordinate points is
m = y 2 - y 1 x 2 - x 1
For the coordinate points (12,−2) and (7,8)
x 1 = 12
x 2 = 7
y 1 = - 2
y 2 = 8
m = 8 - ( - 2 ) 7 - 12
m = 10 - 5
The slope is m = - 10 5 = - 2 1
the perpendicular slope would be the reciprocal (-1/m)
m = 1 2

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