Yes, this set of ordered pairs has been generated by a linear function because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.
We have given that,
The ordered pairs below represent a relation between x and y.
(-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20)
What is a graph?
The graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given are ordered pairs are: (-3,0) (-2,4)(-1,8)(0,12)(1,16)(2,20).
It can be seen that there is only a unit increase in x coordinates and a unit increase in consecutive y- coordinates.
Now, if we set up the equation of line as
Here, m =4 and b = 12
So the relationship is linear and represented by the equation
y=4x+12
Hence, the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.
The correct option is (B)
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