Question

Can someone help me out with my algebra one

Answer 1

(1,-4) (2,-8)

(-8+4)/(2-1)= -4/1= -4

y + 4 = -4(x - 1)

y + 4 = -4x + 4

y = -4x

the answer is linear

Answer 2

y = (-1)*2^(x + 1)

Explanation:

This one is not a line. It is something raised to a power. In addition, there is an ugly minus sign somewhere.

First of all, every answer is some sort of power of 2. All of them are 2^x but we don't exactly know how x words. It is not a simple y = 2^x because the first one is - 4 not - 2.

So there is an extra power somehow.

Try

y = 2^(x + 1) That looks promising

x = 1

y = 2^(1 + 1)

y = 2^2

y = 4

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Try another one

x = 2

y = 2^(2 + 1)

y = 2^3

y = 8

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I think you'll find that the other two are well behaved. and come to the answer (except for the minus) as they should.

What about that minus.

y = (-1)*2^(x + 1) should give a minus y value for any term.