Solve the following problem. (10 points) The coordinates of the endpoints of LN ...

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September 2022 1 6 Report

Solve the following problem. (10 points)

The coordinates of the endpoints of LN are (-3, -2) and (8,9), respectively. What are the coordinates of its midpoint Y? (Use the midpoint formula)

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UK2019

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✏️MIDPOINT

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$\underline{\mathbb{PROBLEM:}}$

The coordinates of the endpoints of LN are (-3,-2) and (8,9) respectively. What are the coordinates of its midpoint Y?

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$\underline{\mathbb{ANSWER:}}$

$\qquad\LARGE\rm» \:\: \green{Y = (2.5,3.5)}$

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$\underline{\mathbb{SOLUTION:}}$

- Find the coordinates of point/midpoint Y by using the formula.

$\begin{aligned}&\bold{\color{lightblue}Formula:}\\&\boxed{M = \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\bigg)}\end{aligned}$

$\begin{aligned}Y= \bigg(\frac{ \text - 3 + 8}{2},\frac{ \text - 2 + 9}{2}\bigg)\end{aligned}$

$\begin{aligned}Y= \bigg(\frac{5}{2},\frac{7}{2}\bigg)\end{aligned}$

$Y = (2.5, 3.5)$

$\therefore$ The coordinates of point/midpoint Y is (2.5, 3.5).

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UK2019 \begin{gathered}\begin{aligned}&\bold{\color{lightblue}Formula:}\\&\boxed{M = \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\bigg)}\end{aligned} \end{gathered}Formula:M=(2x1+x2,2y1+y2)

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✏️MIDPOINT

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