Answer:
- n = 3
- (1, 1/6), (-2, 7/6), (5, -7/6)
- 2x + 6y = 3
Step-by-step explanation:
A graphing program can help a lot in this case. Even without the program, it seems clear from a graph that only the first three points will lie on the same line.
The slope of the line can be found from the first two points as ...
∆y/∆x = (7/6 -1/6)/(-2 -1) = (6/6)/-3 = -1/3
Then the point-slope form of the equation can be written as
y -1/6 = -1/3(x -1)
Multiplying by 6 gives ...
6y -1 = -2x +2
Adding 2x+1 puts the equation into standard form:
2x + 6y = 3
