The coordinates of point T are (0, 5) . The midpoint of overline ST is (1, - 2) . Find the coordinates of point S

Plz hurry if u can!!!

Answers

Answer 1

The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)

Given that:

[tex]T(x_1,y_1) = (0,5)[/tex]

[tex]M = (1,-2)[/tex] --- the midpoint of ST

[tex]S = (x_2,y_2)[/tex]

To calculate the coordinates of S, we use the following midpoint formula:

[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]

Divide both sides by 0.5

[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]

[tex](2,-4) = (x_2,5 + y_2)[/tex]

Compare both sides

[tex]x_2 = 2[/tex]

[tex]5 + y_2 = -4[/tex]

Collect like terms

[tex]y_2 = -4-5[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of S is:

[tex]S = (2,-9)[/tex]

Read more about midpoints at:

https://brainly.com/question/8943202


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