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

Answer:

Option B.

Step-by-step 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 = $\frac{(x+x')}{2}$

Y = $\frac{(y+y')}{2}$

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

Now we plug in the values in the formula

7 = $\frac{(8+x)}{2}$

x + 8 = 14

x = 14 - 8

x = 6

Similarly, 5 = $\frac{(7+y)}{2}$

y + 7 = 10

y = 10 - 7

y = 3

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

Option B. is the answer.