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27-06-2022
Mathematics

contestada

What IS the slope of a line that is perpendicular to the line y= --x + 5?
• -2
-1/2
1/2
• 2

Respuesta :

05-07-2022

Slopes of perpendicular lines.

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

k ║ l ⇔ a₁ = a₂

k ⊥ l ⇔ a₁ · a₂ = -1

We have the line y = -x + 5 ⇒ a₁ = -1.

Therefore

a₂ · (-1) = -1

-a₂ = -1 Ichange the signs

a₂ = 1

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