Let point R be (x₁, y₁) and Point S(10, 10) be (x₂, y₂)
Midpoint is given by [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) [/tex]
We know that the midpoint is (9, 8)
We will use this to evaluate the value of (x₁, y₁)
[tex] \frac{x_1+x_2}{2}=9 [/tex]
[tex] \frac{x_1+10}{2}=9 [/tex]
[tex]x_1+10=18[/tex]
[tex]x_1=8[/tex]
[tex] \frac{y_1+y_2}{2}=8 [/tex]
[tex] \frac{y_1+10}{2}=8 [/tex]
[tex]y_1+10=16[/tex]
[tex]y_1=6[/tex]
Point R (x₁, y₁) = (8, 6)
Correct answer: A
