Question

Which table of values corresponds to the graph below?

Answer 1

The table of values corresponding to the linear function that goes through (0, -2) and (2,0) is has points (x,y) in the following format:

(x, x - 2).

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line goes through (0,-2), hence the y-intercept is b = -2. The slope is given by:

m = (0 - (-2))/(2 - 0) = 2/2 = 1.

Hence the equation is:

y = x - 2.

Thus the points on the table are related as follows:

(x, x - 2).

For example

x  f(x)

0  -2

1   -1

2   0

3   1

4   2

5   3

And so on...

More can be learned about linear functions at brainly.com/question/24808124

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