Question

The midpoint of RS has cordon ages (6,8). Points S has coordinates (6,7)...

Answer 1

The coordinates of R are (6,9)

Step-by-step explanation:

Given

S(6,7) = (x2,y2)

R = (x1,y1)

M = (6,8)

The formula for mid-point is:

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})$

Putting values

$(6,8) = (\frac{x_1+6}{2} , \frac{x_2+7}{2})$

Putting respective coordinates equal

$6 = \frac{x_1+6}{2}\\6*2 = x_1+6\\12 = x_1+6\\x_1 = 12-6\\x_1 =6\\AND\\8 = \frac{y_1+7}{2}\\8*2 = y_1+7\\16 = y_1+7\\16-7 = y_1\\y_1 = 9$

Hence,

The coordinates of R are (6,9)

Keywords: Coordinate geometry

Learn more about coordinate geometry at:

• brainly.com/question/10901103
• brainly.com/question/5069437

#LearnwithBrainly