Write an equation for each line.

Step-by-step explanation:

1. orange line: y = 4

2. Green line:

(0, -1), (1, 0)

(0 + 1)/(1 - 0)= 1/1= 1

y + 1 = x - 0

y = x - 1

3. black line:

(0, 4), (2, 0)

(0 - 4)/( 2 - 0) = -4/2 = -2

y - 4 = -2(x - 0)

y - 4= -2x + 0

y = -2x + 4

4. blue line: x = -4

- 8

Step-by-step explanation:

The real problem is that you should asked for the term after the next one.

Given what you have, the next term is likely 2*-4 = -8. That is one way to derive it.

Another would be to start at 0.

y = - 2^(n - 1)

n = 1

- 2^ ( 1-1) = -1 * 2^0

anything to the 0 power = 1 except 0. You cannot have 0^0 power.

Since 2 is not 0 then 2^0= 1

-1*1 = -1

n = 3

-2^(3 - 1) = -2^2 = - 4

Now you can keep on going from there.

I've shown you two ways to get - 8

I think that is your  intended answer