Assignment
2 answers:
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Answer:
(-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