Question:
Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?
Answer:
[tex]T(4,5)[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Required
Determine the coordinates of T
The coordinates of T can be represented as [tex]T(x,y)[/tex]
To do this, we simply solve for x and y
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
Solve 6 - 2
[tex]x = \frac{1}{2}*4 + 2[/tex]
Solve 1/2 * 4
[tex]x = 2 + 2[/tex]
[tex]x = 4[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Solve 4 - 6
[tex]y = \frac{1}{2}*-2 + 6[/tex]
Solve 1/2 * -2
[tex]y = -1 + 6[/tex]
[tex]y = 5[/tex]
Hence, the coordinates of T(x,y) is:
[tex]T(x,y) = T(4,5)[/tex]
