The one(s) where the y coordinate is:
depending upon which of the following equations is intended (as there are missing operators in the question):
[Note equations 1 & 3 are the same equation written in different forms.]
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If: y = -5x+3 then the points are (2, -7) and (6, -27)
-1
If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
From the given points the slope of the line works out as 3/4
Answer: y = -2/5x-14/5 which also can be written as 5y = -2x-14 or in the general form of the equation of a straight line as 2x+5y+14 = 0