The lines y = 3x - 2 and y = -x + 14 intersect at a point. Is the y-coordinate of that point greater than or less than 7?

Find the intersection by setting the expressions for $y$ equal: $3x - 2 = -x + 14$. Add $x$ and 2 to both sides: $4x = 16$, so $x = 4$. Then $y = 3(4) - 2 = 10$, and the other line gives $-4 + 14 = 10$, confirming it. The $y$-coordinate is 10, which is greater than 7, choice D. Choice A is wrong because 10 is not less than 7. Choice B would need $y = 7$ exactly, which happens at $x = 3$ on the first line but not at the intersection. Choice C is wrong because the lines are not parallel, so the intersection can be determined.