Question

What is the midpoint of the segment whose endpoints are (0,4) and (-4, -6)?O A. (-4,-2)B. (-2,-4)O C. (2, 5)D. (0, -12)O E. (-2,-1)

Answer 1

E. (-2,-1)

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Answer 2

TIP

`\begin{gathered} (x_(1,)y_1)=(0,4)_{} \\ (x_(2,)y_2)=(-4,-6) \end{gathered}`

Step 1

`\begin{gathered} \text{for x}=\text{ }(x_1+x_2)/(2) \\ \text{x}=\text{ }\frac{0_{}+(-4)_{}}{2} \\ \\ \text{x}=\text{ }\frac{-4_{}}{2} \\ x=\text{ -2} \end{gathered}`

Step 2

`\begin{gathered} \text{for y}=\text{ }(y_1+y_2)/(2) \\ \text{ y}=\text{ }\frac{4_{}+(-6)_{}}{2} \\ \text{ y}=\text{ }\frac{4_{}-6_{}}{2} \\ y=(-2)/(2) \\ y=-1 \end{gathered}`

Step 3

The midpoint of the segment (x,y)= (-2,-1)

The final answer (-2,-1)

OPTION E