Enter the values in the interactive table to graph the line. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 2, 4. Column 2 is labeled y with entries 4, 2, 1, and negative 1. Which of the points does not fall on the same line as the other three points?

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joaobezerra joaobezerra · Answer 1 · 2022-09-04T17:22:50+02:00

Using a linear function, the points that does not fall on the same line as the other points is (4,-1).

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.

For this line, when x = 0, y = 2, hence the y-intercept is b = 2 and:

y = mx + 2.

The other point is (-4,4), hence the slope is given by:

m = (2 - 4)/(0 - (-4)) = -0.5.

Hence y = -0.5x + 2, and:

f(4) = -0.5 x 4 + 2= 0, meaning that point (4,0) is on the line but point (4,-1) is not on the line.

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

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