# Answer to Question #29421 in Analytic Geometry for darcy

Question #29421

find the values a and b if (a,2) is the midpoint of (3,b) and (-5,6)

Expert's answer

If (a,2) is the midpoint of (3,b) and (-5,6) then

a = (3 + (-5))/2 (1)

2 = (b + 6)/2 (2)

Let's solve the obtained equations:

(1) ==> a = (3 - 5)/2 = -2/2 = -1;

(2) ==> b + 6 = 2*2 ==> b + 6 = 4 ==> b = 4-6 = -2.

So, a = -1 and b = -2.

Answer: a=-1, b=-2

a = (3 + (-5))/2 (1)

2 = (b + 6)/2 (2)

Let's solve the obtained equations:

(1) ==> a = (3 - 5)/2 = -2/2 = -1;

(2) ==> b + 6 = 2*2 ==> b + 6 = 4 ==> b = 4-6 = -2.

So, a = -1 and b = -2.

Answer: a=-1, b=-2

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