dolphin716
Answered

Look at the table of values below.


x y

1 -1

2 -3

3 -5

4 -7


Which equation is represented by the table?

y = 1 − 2x

y = -x − 1

y = x − 2

y = 2x − 1

Verified Answer :

caylus

Hello,

Answer A
(1,-1)
(2,-3)
m=(-3+1)/(2-1)=-2

y+1=-2(x-1)==>y=-2x+1

Answer:

y = 1 − 2x

Step-by-step explanation:

If you observe the given table, you would find that as x-values increase by one, y-values decrease by 2. This ratio of change can be found as the following,

\(r=\frac{-7-(-1)}{4-1}=\frac{-7+1}{3} =\frac{-6}{3}=-2\)

The ratio of change is -2, which means the function is decreasing, beacuse its slope is negative.

Now, we can use the slope, one point and the point-slope formula, to find the equation that models those values

\(y-y_{1} =m(x-x_{1} )\\y-(-1)=-2(x-1)\\y+1=-2x+2\\y=-2x+2-1\\y=-2x+1\\y=1-2x\)

Therefore, ther right answer is the first choice.

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