Lines AB and CD having the following points: A(2,4) B(9,8) C(-1,2) and D(3,-5). Are the lines parallel, perpendicular, or neither

Lines AB and CD having the following points A24 B98 C12 and D35 Are the lines parallel perpendicular or neither class=

Respuesta :

Answer:

perpendicular

Step-by-step explanation:

Calculate the slopes m of AB and CD using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(9, 8)

m = [tex]\frac{8-4}{9-2}[/tex] = [tex]\frac{4}{7}[/tex]

Repeat with

(x₁, y₁ ) = C(- 1, 2) and (x₂, y₂ ) = D(3, - 5)

m = [tex]\frac{-5-2}{3+1}[/tex] = - [tex]\frac{7}{4}[/tex]

The slopes are not equal, hence AB and CD are not parallel

The slope are negative inverses of each other, hence

AB and CD are perpendicular

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