Question 179107
The points (1,3) (2,5) (8,17) (50,101) and (1000,2001) all lie on line M. The points (1,-1) (2,-3) (8,-15) (50,-99) and (1000,-1999) all lie on line N. Form the equations of both the lines and show your work.
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Only 2 points are needed to define a line.  Pick any 2.
For M use (1,3) and (2,5)
|x y 1|
|1 3 1| = 0
|2 5 1|
x*(3-5) - y*(1-2) + 5-6 = 0
-2x + y -1 = 0
2x-y = -1
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For N use (1,-1) and (2,-3)
|x y 1|
|1 -1 1| = 0
|2 -3 1|
x*(-1+3) - y*(1-2) + -3 + 2 = 0
2x + y = 1