Linear Relationships                                                                        Name:                  

Collinear Trio

A, B, C, D, E, F, G, and H are points with the following coordinates:

A
(0, 3)

B
(-2, 11)

C
(3, -3)

D
(-1, 9)

E
(-3, 10)

F
(6, -10)

G
(-5, 19)

H
(-6, 18)

Three, and only three, of these points are collinear - that is, they lie on the same line. Your task is to determine analytically which three of them are the collinear trio.

Plotting the points and using a straightedge will give you a visual representation of the points. However simply eyeballing the points to determine the three that are collinear will not earn you full credit. You must use what you have learned about slope or other analytical methods to determine the collinear points.

Give the linear equation for the line that passes through the three points.

 

 

For this problem:

 

á      Use a separate piece of paper and attach the problem as a cover sheet.

 

á      Show all of your mathematics.

 

á      Include any charts and graphs you used to solve the problem.

 

á      Do not turn in your scratch paper.

 

á      Organize your work and solution sequentially (so that it can be read from start to finish rather than scattered over a page)