Answer:
Step-by-step explanation:
As we know the general formula of the hyperbola is:
(x-h)²/a² - (y-k)²/b² = 1, where
- (h,k) is the center
- a is the semi-major axis
- b is the semi-minor axis
In this situation, the equation is:
(x+3)²/25 - (y+5)²/4 = 1
=> the center is: (-3, -5)
a = 5
b = 2
- As we know their slopes are +/- [tex]\frac{b}{a}[/tex] so
-5 = +2/5 (-3) + b ---> b= -3.8
-5 = -2/5 (-3) + b ---> b= -6.2
Hence, you plot the equations y=2/5x -3.8 and y = -2/5 x - 6.2 by assigning values of x and plotting them against y as the attached photo.
Hope it will find you well.
