SOLUTION: M (8,6) is the midpoint of RS. The coordinates of S are (9,7). What are the coordinates of R?

Question 163851: M (8,6) is the midpoint of RS. The coordinates of S are (9,7). What are the coordinates of R?
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
M (8,6) is the midpoint of RS. The coordinates of S are (9,7). What are the coordinates of R?
The midpoint formula is:
M = [(x1 + x2)/2, (y1 + y2)/2]
We are given the midpoint to be (8,6).
We are also given point S to be (9,7).
We set it up this way:
(8,6) = [(x + 9)/2, (y + 7)/2]
We now equate (x + 9)/2 to 8 and solve for x and then we equate (y + 7)/2 to 6 and solve for y.
(x + 9)/2 = 8
Multiply both sides by 2.
x + 9 = 8 (2)
x + 9 = 16
x = 16 - 9
x = 7
==========================
We now do the same for y.
(y + 7)/2 = 6
y + 7 = 6 (2)
y + 7 = 12
y = 12 - 7
y = 5
The coordinates of point R are (7, 5)
Did you follow?
RELATED QUESTIONS
M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates... (answered by ewatrrr)

M(6, 6) is the midpoint of . The coordinates of S are (8, 9). What are the coordinates of (answered by MathLover1)

M (9, 8) is the midpoint of RS. The coordinates of S are (10, 10). What are the... (answered by Fombitz)

M(-7, 6) is the midpoint of line RS. If S has coordinates (0, 9), find the coordinates of (answered by ewatrrr)

RS has endpoints R(2,4) and s(-1,7). what are the coordinates of its midpoint M... (answered by ewatrrr)

M is the midpoint of RS and R has coordinates (2, 5). M has coordinates (6, 9). Find the... (answered by ewatrrr)

M is the midpoint of segment RS.R has coordinate (- 12, 4) , and M has coordinates (1, -... (answered by josgarithmetic)

f M (4, -6) is the midpoint of line RS. if S has coordinates (0, 13) find coordinates R. (answered by cleomenius)

M(1,2) is the midpoint of line segment RS. If S has the coordinates (8,10), find the... (answered by stanbon)