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What is the perpendicular slope to the segment whose endpoints are (-7, -5) and (9, 3)?

1 Answer

4 votes

Answer:

perpendicular slope = - 2

Explanation:

calculate the slope m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (- 7, - 5 ) and (x₂, y₂ ) = (9, 3 )

m =
(3-(-5))/(9-(-7)) =
(3+5)/(9+7) =
(8)/(16) =
(1)/(2)

given a line with slope m then the slope of a line perpendicular to it is


m_(perpendicular) = -
(1)/(m) = -
(1)/((1)/(2) ) = - 2

User Zomnombom
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