QuestionAugust 25, 2025

Given Two Points 1. Find the midpoint between the points (2,3) and (4,7) 2. Calculate the midpoint between the points (-1,-2) and (3,6) 3. Determine the midpoint between the points (0,0) and (10,8) 4. What is the midpoint between the points (-4,5) and (6,-3)

Given Two Points 1. Find the midpoint between the points (2,3) and (4,7) 2. Calculate the midpoint between the points (-1,-2) and (3,6) 3. Determine the midpoint between the points (0,0) and (10,8) 4. What is the midpoint between the points (-4,5) and (6,-3)
Given Two Points
1. Find the midpoint between the points
(2,3) and (4,7)
2. Calculate the midpoint between the points
(-1,-2) and (3,6)
3. Determine the midpoint between the points
(0,0) and (10,8)
4. What is the midpoint between the points (-4,5) and (6,-3)

Solution
4.2(201 votes)

Answer

(3, 5), (1, 2), (5, 4), (1, 1) Explanation 1. Calculate the midpoint for (2,3) and (4,7) Use the formula \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) to find the midpoint. For (2,3) and (4,7), it is \left( \frac{2+4}{2}, \frac{3+7}{2} \right) = (3, 5). 2. Calculate the midpoint for (-1,-2) and (3,6) Apply the formula \left( \frac{-1+3}{2}, \frac{-2+6}{2} \right) = (1, 2). 3. Calculate the midpoint for (0,0) and (10,8) Use the formula \left( \frac{0+10}{2}, \frac{0+8}{2} \right) = (5, 4). 4. Calculate the midpoint for (-4,5) and (6,-3) Apply the formula \left( \frac{-4+6}{2}, \frac{5-3}{2} \right) = (1, 1).

Explanation

1. Calculate the midpoint for (2,3) and (4,7)<br /> Use the formula $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$ to find the midpoint. For $(2,3)$ and $(4,7)$, it is $\left( \frac{2+4}{2}, \frac{3+7}{2} \right) = (3, 5)$.<br /><br />2. Calculate the midpoint for (-1,-2) and (3,6)<br /> Apply the formula $\left( \frac{-1+3}{2}, \frac{-2+6}{2} \right) = (1, 2)$.<br /><br />3. Calculate the midpoint for (0,0) and (10,8)<br /> Use the formula $\left( \frac{0+10}{2}, \frac{0+8}{2} \right) = (5, 4)$.<br /><br />4. Calculate the midpoint for (-4,5) and (6,-3)<br /> Apply the formula $\left( \frac{-4+6}{2}, \frac{5-3}{2} \right) = (1, 1)$.
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