What is the equation of the line represented by the table below? x y
-3 1
6 4
12 6
30 12

Step-by-step explanation:

Equation of a Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

The table shows the relation between x and y. It contains the following points

(-3,1), (6,4), (12,6), (30,12).

Taking the two first points, we find the equation of the line:

Simplifying:

To ensure the rest of the points belong to the line, we test them:

For the point (12,6):

5=5

Since equality is true, the point belongs to the line.

For the point (30,12):

11=11

Since equality is true, the point belongs to the line.

Thus, the equation of the line is:

2x^2+5x+17

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