PLEASE, I NEED HELP ASAP!!! In the diagram, AC is a diameter of circle O. If the slope of bc is -1/2, what is the slope of ab ? A. 1/2 B. -1/4 C. 2 D. -2 E. -4

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asked Apr 10, 2020 42.3k views

2 Answers

Georgepsarakis · Answer 1 · 2020-04-13T22:27:49+0000

C. 2

We have a circle described on the triangle. If one side of the triangle is the diameter of the circle, then the triangle is the right triangle.

Therefore m∠B = 90°.

AB is perpendicular to BC.

Let

k: y = m₁x + b₁ and l: y = m₂x + b₂

l ⊥ k ⇔ m₁m₂ = -1 ⇒ m₂ = - 1/m₁

We have the slope of BC m₁ = - 1/2.

Therefore the slope of AB m₂ = - 1/(- 1/2) = 2