Find the midpoint $$m$$ of $$Z_1=4 i$$ and $$Z_2=-6 i$$ ( Express your answer in rectangular form)



<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Find the midpoint $$m$$ of $$Z_1=4 i$$ and $$Z_2=-6 i$$ ( Express your answer in rectangular form)

</textarea>Find the midpoint <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m of <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>=</mo><mn>4</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_1=4 i</annotation></semantics></math>Z​1​​=4i and <math><semantics><mrow><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mo>−</mo><mn>6</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_2=-6 i</annotation></semantics></math>Z​2​​=−6i ( Express your answer in rectangular form)
</div>

<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>If the points are $$Z_1=4 i$$ and $$Z_2=-6 i$$
then midpoint m of $$Z_1$$ and $$Z_2$$ $$=\frac{Z_1+Z_2}{2}= \frac{4 i-6 i}{2}=0-i$$

</textarea>If the points are <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>=</mo><mn>4</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_1=4 i</annotation></semantics></math>Z​1​​=4i and <math><semantics><mrow><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mo>−</mo><mn>6</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_2=-6 i</annotation></semantics></math>Z​2​​=−6i then midpoint m of <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub></mrow><annotation encoding="application/x-tex">Z_1</annotation></semantics></math>Z​1​​ and <math><semantics><mrow><msub><mi>Z</mi><mn>2</mn></msub></mrow><annotation encoding="application/x-tex">Z_2</annotation></semantics></math>Z​2​​ <math><semantics><mrow><mo>=</mo><mfrac><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>+</mo><msub><mi>Z</mi><mn>2</mn></msub></mrow><mrow><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>4</mn><mi>i</mi><mo>−</mo><mn>6</mn><mi>i</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo>=</mo><mn>0</mn><mo>−</mo><mi>i</mi></mrow><annotation encoding="application/x-tex">=\frac{Z_1+Z_2}{2}= \frac{4 i-6 i}{2}=0-i</annotation></semantics></math>=​2​​Z​1​​+Z​2​​​​=​2​​4i−6i​​=0−i
</div>