Questions: What is the midpoint of AB ? A (-7,7) B (-7/2, 7/2) C (1/2,-1/2) D (3/4,-4/3)

What is the midpoint of AB ? A (-7,7) B (-7/2, 7/2) C (1/2,-1/2) D (3/4,-4/3)
Transcript text: What is the midpoint of $\overline{A B}$ ? A $(-7,7)$ B $\left(-\frac{7}{2}, \frac{7}{2}\right)$ C $\left(\frac{1}{2},-\frac{1}{2}\right)$ D $\left(\frac{3}{4},-\frac{4}{3}\right)$
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Solution

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Solution Steps

Step 1: Identify the coordinates of points A and B

The coordinates of point A are (-4, -3). The coordinates of point B are (4, 3).

Step 2: Apply the midpoint formula

The midpoint formula is given by: Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Substitute the coordinates of A and B into the formula: Midpoint = ((-4 + 4)/2, (-3 + 3)/2) Midpoint = (0/2, 0/2) Midpoint = (0, 0)

Final Answer: The midpoint of AB is (0,0).

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