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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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Solve The Following Problem 10 Points The Coordinates Of The Endpoints Of LN Are 3 2 And 89 Respectively What Are The Coordinates Of Its Midpoint Y Use The Midp class=

Sagot :

UK2019idn

✏️MIDPOINT

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[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • 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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[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex]\qquad\LARGE\rm» \:\: \green{Y = (2.5,3.5)}[/tex]

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[tex]\underline{\mathbb{SOLUTION:}}[/tex]

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

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

  • [tex]\begin{aligned}Y= \bigg(\frac{ \text - 3 + 8}{2},\frac{ \text - 2 + 9}{2}\bigg)\end{aligned} [/tex]

  • [tex]\begin{aligned}Y= \bigg(\frac{5}{2},\frac{7}{2}\bigg)\end{aligned} [/tex]

  • [tex]Y = (2.5, 3.5)[/tex]

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

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