Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±2 divided by 3.x. a y squared over 36 minus x squared over 16 = 1
b y squared over 16 minus x squared over 36 = 1
c y squared over 9 minus x squared over 4 = 1
d y squared over 16 minus x squared over 9 = 1

im pretty sure it is c

Step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

the answer is b