A hyperbola is represented using the equation (x-1)^2/4-(y+2)^2/16=1. What are the slopes of the asymptotes?

the slope of the asymptotes are: 2 and -2

Step-by-step explanation:

As we know the hyperbola equation is:

Given the hyperbola equation:

We have  a=2 and b=4, h=1 and k=-2

and the asymptote equation of a translate hyperbola with equation is:

We substitute this values to get:

<=> y = 2x -4 or y = -2x

so the slope of the asymptotes are: 2 and -2

m=2

b=-4

Step-by-step explanation:

Just did it on edg