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Sagot :
Using a linear function, the points that does not fall on the same line as the other points is (4,-1).
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.
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(2) = -0.5 x 2 + 2 = 1, meaning that point (2,1) is on the line.
- 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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