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: $3x - 4 = -2x + 6$

Step 2: Solve for $x$: $3x + 2x = 6 + 4$$5x = 10$$x = 2$

Step 3: Find $y$ using either equation (using the first): $y = 3(2) - 4 = 6 - 4 = 2$

Solution: $(2, 2)$

Verification: $2 = -2(2) + 6 = -4 + 6 = 2$ ✓

💡 Strategic Tip: The intersection point is where both lines have the same $x$ and $y$ values.

Choice A is incorrect because$5 = 3(3) - 4 = 9 - 4 = 5$ ✓, but $5 \ eq -2(3) + 6 = 0$.

Choice B is incorrect because$-1 = 3(1) - 4 = -1$ ✓, but $-1 \ eq -2(1) + 6 = 4$.

Choice D is incorrect because$8 = 3(4) - 4 = 8$ ✓, but $8 \ eq -2(4) + 6 = -2$.