SOLUTION: W,R, and S are points on a number line, and W is the midpoint of line RS. For each pair of coordinates given, find the coordinate of the third point. I need help on two problems.

Question 49398This question is from textbook Glencoe Geometry
: W,R, and S are points on a number line, and W is the midpoint of line RS. For each pair of coordinates given, find the coordinate of the third point.
I need help on two problems.
Please, show me the step so then I can do the rest of them.
1) R=4, S=-6
2) W= -4, S=2 This question is from textbook Glencoe Geometry

Answer by tiffanyc(9) (Show Source): You can put this solution on YOUR website!
If W is the midpoint of the line RS, it's basically saying W is exactly halfway between point R and point S. If given R and S we can simply add the R and S points together and divide by 2.
4+ (-6)=-2.......-2/2 =-1 so W=-1
In picture form, one dot will equal 1 number to proove the equation
-6....-1....4, notice there are 4 dots between R and W and 4 dots between S and W.

When either R or S is not given, the same formula can be applied but now algebra is used....or counting, your choice.
(R+S)/2=W
(R+2)/2=-4.....R+2=-8......R=-10, this can also be prooved by the number line
-10.....-4.....2, there are 5 numbers between each R and W and S and W
Hope this helps
RELATED QUESTIONS
W,R and S are points on a number line,and W is the midpoint of RS.For each pair of... (answered by solver91311)

Thank you so much for your help. I'm having a lot of problems understanding geometry. (answered by bonster)

Find the coordinates of R, Given S(-3,7) and the Midpoint of RS is... (answered by lwsshak3)

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

M(-6,2) is the midpoint of line RS. If S has coordinates (0,7), find the coordinates of... (answered by rfer)

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

Please help w/ the following: M(6,-5) is the midpoint of RS. If S has coordinates... (answered by venugopalramana)

W is the midpoint of RS w= -4 s= 2 What's... (answered by stanbon)

the endpoints of RS are R(-2,-1) and S(2,3). find the coordinates of the midpoint of RS.... (answered by josmiceli)