1. **State the problem:** We are given points $A=(2,3)$, $B=(-4,-2)$, and $C=(-1,3)$, and we need to find the vector $-A + B + C$. 2. **Recall vector operations:** - The negative of a vector $A=(x,y)$ is $-A=(-x,-y)$. - Vector addition is done component-wise: $(x_1,y_1)+(x_2,y_2) = (x_1+x_2, y_1+y_2)$. 3. **Calculate $-A$:** $$-A = (-2, -3)$$ 4. **Add $-A$ and $B$:** $$-A + B = (-2, -3) + (-4, -2) = (-2-4, -3-2) = (-6, -5)$$ 5. **Add the result to $C$:** $$(-6, -5) + (-1, 3) = (-6-1, -5+3) = (-7, -2)$$ 6. **Final answer:** $$-A + B + C = (-7, -2)$$