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3 years ago

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M is the midpoint of segment CS. C is at (-8, 2) M is at the origin. What are the coordinates of S?

1 answer:

ahrayia [7]3 years ago

4 0

C(-8,2) and M(0,0) , since M is at the origin. Let x₁ and y₁ be the
coordinates of S →s(x₁ , y₁)

C(-8,2) and S(x₁ , y₁)
The coordinates of M, the midpoint of CS are M(x₂ , y₂)

a) x₂ = (-8 + x₁)/2 , but x₂ = 0, then :
0 = -4+x₁/2 and x₁ = 8

b) y₂ = (2+y₁)/2 , but y₂ = o, then:
0 = 2+ y₁/2 and y₂ = -2

Then the coordinates of S are S(8 , -2)

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