# math

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11. The midpoint of is E(–1, 0). One endpoint is C(5, 2). What are the coordinates of the other endpoint?

can someone please explain how to do this problem

• math -

For the x-coordinate,
C is 6 units to the right of E

For the y-coordinate,
C is 2 units above E

So, since E is the midpoint, the other endpoint is
6 to the left and 2 below E, or (-7,-2)

Algebraically, you know that if the ends are C and D,

(Cx+Dx)/2 = Ex
(Cy+Dy)/2 = Ey, so

(5+Dx)/2 = -1
(2+Dy)/2 = 0

5+Dx = -2
Dx = -7

2+Dy = 0
Dy = -2

as shown above

• math -

thank you

• math -

did you use the midpoint formula

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