Question

The midpoint of has coordinates of (4, -9). The endpoint A has coordinates (-3, -5). What are the coordinates of B?

Answer 1

Use the midpoint formula:

`midpoint=((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))`

• Endpoint A = (x₁, y₁) = (-3, -5)
• Endpoint B = (x₂, y₂)
• Midpoint = (4, -9)

Substitute in the values:

`(4, -9)=((-3+x_(2))/(2) +(-5+y_(2))/(2) )`

`4=(-3+x_(2))/(2) \\4(2)=-3+x_(2)\\8+3=x_(2)\\x_(2)=11`
`-9=(-5+y_(2))/(2) \\(-9)(2)=-5+y_(2)\\-18+5=y_(2)\\y_(2)=-13`

Therefore, Point B = (11, -13)

Answer 2

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Answer:

(11, -13)

Explanation:

If midpoint M is halfway between A and B:

M = (A +B)/2

Then B is ...

B = 2M -A

B = 2(4, -9) -(-3, -5) = (8+3, -18+5)

B = (11, -13)