SOLUTION: The center of a circle is (-4,7)and one endpoint of a diameter is (2,-1). What is the other endpoint of the diameter? a.(6,15) b.(-10,16) c.(-6,13) d.(-10,15) thanks for your

Algebra ->  Human-and-algebraic-language -> SOLUTION: The center of a circle is (-4,7)and one endpoint of a diameter is (2,-1). What is the other endpoint of the diameter? a.(6,15) b.(-10,16) c.(-6,13) d.(-10,15) thanks for your       Log On


   

Question 5441: The center of a circle is (-4,7)and one endpoint of a diameter is (2,-1). What is the other endpoint of the diameter?
a.(6,15)
b.(-10,16)
c.(-6,13)
d.(-10,15)
thanks for your help!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
the distance is the same on either side of the centre.

From the centre to (2,-1) we have moved 6 units in the x-direction and -8 units in the y-direction.

So, in the other direction, we need to go -6 units in the x-direction and 8 units in the y-direction... Hence

x: -4-6 --> -10
y: 7+8 --> 15

so point is (-10,15)

jon.