Question

M (7,5) is the midpoint of rs the coordinates of S are (8,7) what are the coordinates of R

A. (7.5, 6)
B. (6,3)
C. (14,10)
D. 9,9

Answer 1

The difference between the x and y values for each ordered pair is 1 for x and 2 for y. Next you would subtract a 1 from the x-coordinate in (7,5) and subtract a 2 from the y-coordinate in (7,5). by doing so you get the ordered pair (6,3). Therefore your answer for the coordinate of R is (6,3).

I hope this helps!

Answer 2

Option B.

Explanation:

M is the midpoint of RS.

Coordinates of M and S are (7, 5) and (8, 7).

We have to find the coordinates of point R.

Coordinates of the midpoint of a segment are represented by

X =
`((x+x'))/(2)`

Y =
`((y+y'))/(2)`

Here (X, Y) are the coordinates of the midpoint.

Now we plug in the values in the formula

7 =
`((8+x))/(2)`

x + 8 = 14

x = 14 - 8

x = 6

Similarly, 5 =
`((7+y))/(2)`

y + 7 = 10

y = 10 - 7

y = 3

Therefore, coordinates of the point R are (6, 3)

Option B. is the answer.