1. **Problem:** Determine which point lies on the line given by the equation $$2x - 3y = 7$$. 2. **Formula and rule:** To check if a point $ (x, y) $ lies on a line, substitute the $x$ and $y$ values into the equation. If the equation holds true, the point lies on the line. 3. **Check each point:** - For $(-2, 1)$: $$2(-2) - 3(1) = -4 - 3 = -7 \neq 7$$ - For $(-1, 2)$: $$2(-1) - 3(2) = -2 - 6 = -8 \neq 7$$ - For $(1, -2)$: $$2(1) - 3(-2) = 2 + 6 = 8 \neq 7$$ - For $(2, -1)$: $$2(2) - 3(-1) = 4 + 3 = 7$$ 4. **Conclusion:** Only the point $(2, -1)$ satisfies the equation, so it lies on the line. **Final answer:** The point $(2, -1)$ lies on the line $2x - 3y = 7$.