Joelle was asked to find the missing endpoint of a segment when given an endpoint of –6 +3i and a midpoint of –13 + i. her work is shown below.

Given : One end point = -6 +3i, midpoint = -13 + i.

To find : Missing end point.

Solution: We know mid-point formula,

Mid-Point =.

Let us take missing mid-point x.

Plugging values of First End Point and Second End Point in the above formula.

We get,

Adding 6 on both sides.

-6+3i+x+6 = -26 +2i+6

3i+x = -20+2i.

Subtracting both sides by 3i.

3i+x-3i = -20+2i-3i.

x= -20-i

Therefore, missing end point is -20-i.