Question

Which equations represent the asymptotes of the hyperbola?

Answer 1

A. y = 4x+2/3 and y = 10-4x/3

Explanation:

this is the correct answer for the question on edmentum and Plato

Answer 2

see below

Explanation:

The equation of the hyperbola can be written as ...

((x -h)/a)² -((y -k)/b)² = 1

This has asymptotes ...

(x -h)/a ± (y -k)/b = 0

Solving for y, we have ...

y = ±(b/a)(x -h) +k

Filling in the given values a=6, b=8, h=1, k=2, we have ...

y = ±8/6(x -1) +2

`y=(\pm4x\mp4+6)/(3)\\\\\boxed{y=(4x+2)/(3)\ \text{and }y=(10-4x)/(3)}`