Which of the following sets of ordered pairs will create a straight line?
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(3,6) (6, 12) (12, 19) (15, 13)
(-2,4), (-1,8), (0, 12), (1, 16)
(2,9), (1,7), (0, -14), (-1,20)

(-2,4), (-1,8), (0, 12), (1, 16)  is a set of points in a straight line

Step-by-step explanation:

Points On A Line

If we are given a set of points (x1,y1),(x2,y2)(x3,y3),... they are part of a line if, between each pair of them, the slope is constant. The slope of a line, given two points, is

We are given these sets of points

(3,6) (6, 12) (12, 19) (15, 13)

(-2,4), (-1,8), (0, 12), (1, 16)

(2,9), (1,7), (0, -14), (-1,20)

Let's try the first one

(3,6) (6, 12) (12, 19) (15, 13)

The first slope is

The next slope is

Both values are different, so the set is not part of a line

Now for the second set

(-2,4), (-1,8), (0, 12), (1, 16)

Here are the slopes

All of them are equal, so these points lie in the same line

The third set of points results are

The slopes are different. This set is not part of a line

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