12.6k views
4 votes
M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.

User MatthewSot
by
7.6k points

1 Answer

2 votes

Answer:


(4,3)

Explanation:

Given


R = (-2,-3)


M = (1,0)

Required

Determine the coordinates of S

Midpoint is calculated as:


M(x,y) = (1)/(2)(x_1 +x_2,y_1+y_2)

Where:


(x,y) = (1,0)


(x_1,y_1) = (-2,-3)

Substitute these values in the above formula:


(1,0) = (1)/(2)(-2 + x_2,-3+y_2)

Multiply through by 2


2 * (1,0) = 2 * (1)/(2)(-2 + x_2,-3+y_2)


(2,0) = (-2 + x_2,-3+y_2)

By direct comparison:


2 = -2 + x_2 and
0 = -3 + y_2

Solving for x2


2 = -2 + x_2


x_2 = 2 + 2


x_2 = 4

Solving for y2


0 = -3 + y_2


y_2 = 0 + 3


y_2 = 3

Hence, the coordinates of S is:
(4,3)

User Lashaun
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories