# If the sum of 4-2i and -7-8i were plotted in the complex plane, the result would fall in what quadrant?

${z}_{1} + {z}_{2} = \left(4 - 2 i\right) + \left(- 7 - 8 i\right) = \left(4 - 7\right) + \left(- 2 - 8\right) i = - 3 - 10 i$