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The points (2, 1), (3, 3), (4, 5), and (5, 6) are collinear.

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1 Answer

Hi Lindsey;
Let's establish slope of the first two points, (2, 1), (3, 3).
Slope is change-of-y divided by change-of-x...
(y-y1)/(x-x1)
(1-3)/(2-3)
-2/-1
A negative number divided by a negative number has a positive result...
2/1
2
Let's establish slope of the second two points, (3, 3), (4, 5)...
(3-5)/3-4)
-2/-1
2
Let's establish slope of the third two points, (4, 5), (5, 6)...
(5-6)/(4-5)
-1/-1
1
 
THE FIRST THREE POINTS ARE COLLINEAR.  THE LAST IS NOT.
THE ANSWER IS FALSE.