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Lelu [443]
3 years ago
15

What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

<h2>          y = -¹/₂ x - 6</h2>

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

 

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6

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