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Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,

perpendicular, or neither to CD

1 Answer

3 votes

Answer:

neither

Explanation:

If 2 lines are parallel then their slopes are equal

If 2 lines are perpendicular then the product of their slopes = - 1

Calculate the slopes m using the slope formula

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

with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )


m_(AB) =
(-1-(-5))/(8-(-4)) =
(-1+5)/(8+4) =
(4)/(12) =
(1)/(3)

Repeat

with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )


m_(CD) =
(8-9)/(2-(-5)) =
(-1)/(2+5) = -
(1)/(7)

The slopes are neither equal nor have a product of - 1

User Chreekat
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