Answers:
- (-1, 26) for problem 1
- (14, 12) for problem 2
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Step-by-step explanation:
A = (9, -10)
B = (4,8)
C = (x,y)
A and C are the endpoints. B is the midpoint of segment AC.
The x coordinates of A and C are 9 and x respectively. Add them up and divide in half to get (9+x)/2. This is set equal to the x coordinate of point B and we solve for x.
(9+x)/2 = 4
9+x = 2*4
9+x = 8
x = 8-9
x = -1
The x coordinate of point C is -1.
Use the same idea for the y coordinates.
(-10+y)/2 = 8
-10+y = 2*8
-10+y = 16
y = 16+10
y = 26
Point C is located at (-1, 26)
The midpoint between (9, -10) and (-1, 26) is (4, 8)
Use the midpoint formula to confirm this.
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The steps for the second problem are going to follow the same outline.
A = (-6,4)
B = (4,8)
C = (x,y)
(-6+x)/2 = 4 solves to x = 14
(4+y)/2 = 8 solves to y = 12
Point C is located at (14, 12)
The midpoint between (-6, 4) and (14, 12) is (4, 8)