1) Using the equation find a, b, x1 and y1

Step-by-step explanation:

The standard form equation of a hyperbola is

Here:

Given the equation

comparing with the  standard form equation of a hyperbola

(x₁, y₁) = (h, k) = (2, 1)

a = 4, b = 2

Therefore,

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.