SOLUTION: Find the coordinates of the vertices for: y=8-4x y=5-x y=x-2

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Question 360410: Find the coordinates of the vertices for:
y=8-4x
y=5-x
y=x-2
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
You will need to be able to solve a system of two equations
in two variables to do this problem.  If you don't know how
to do that post again asking how.

I will color-code the equations and their graphs:

system%28red%28y=8-4x%29%2C+green%28y=5-x%29%2C+blue%28y=x-2%29%29




We want to find the three vertices, the vertices A,B, and C
of triangle ABC  (points where two line intersect):

To find the vertex where the red and green lines intersect, 
solve this system:

system%28red%28y=8-4x%29%2C+green%28y=5-x%29%29

Solve them by substitution and get (1,4)


To find the vertex where the red and blue lines intersect, 
solve this system:

system%28red%28y=8-4x%29%2C++blue%28y=x-2%29%29

Solve them by substitution and get (2,0)

To find the vertex where the red and green lines intersect 
by solving this system:

system%28green%28y=5-x%29%2C+blue%28y=x-2%29%29

Solve them by substitution and get (7%2F2,3%2F2)




Edwin