Find the intersection of the functions y = -1; y = 3x-2

1) Along the ordinate, the intersection point is already known (y = -1).

2) Substitute y = -1 in the second function and find the intersection point along the abscissa.

-1 = 3x – 2;

3x = -1 + 2;

x = (-1 + 2) / 3 = 1/3.

3) Lines defined by the functions y = -1 and y = 3x – 2 intersect at a point with coordinates (1/3; -1).

Answer: (1/3; -1).



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