Choice C is the correct answer. To find the intersection, we set the two expressions for $y$ equal to each other.

Step 1: Set the equations equal: $4x + 2 = x + 11$

Step 2: Solve for $x$: $4x - x = 11 - 2$$3x = 9$$x = 3$

Step 3: Find $y$ using either equation (using the second): $y = 3 + 11 = 14$

Solution: $(3, 14)$

Verification: $14 = 4(3) + 2 = 12 + 2 = 14$ ✓

💡 Strategic Tip: The intersection point is where both lines have the same coordinates.

Choice A is incorrect because$10 = 4(2) + 2 = 10$ ✓, but $10 \ eq 2 + 11 = 13$.

Choice B is incorrect because$18 = 4 + 11 = 15 \ eq 18$.

Choice D is incorrect because$12 = 1 + 11 = 12$ ✓, but $12 \ eq 4(1) + 2 = 6$.