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Zarrin [17]
2 years ago
13

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

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
3 0
<h3>Slopes of perpendicular lines.</h3>

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

<h3>k ║ l ⇔ a₁ = a₂</h3><h3>k ⊥ l ⇔ a₁ · a₂ = -1</h3>

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

Therefore

a₂ · (-1) = -1

-a₂ = -1     I<em>change the signs</em>

<h2>a₂ = 1</h2>
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