Question

The midpoint of line AC is

M(-1, 3). One endpoint is A(4, -1).
Find the coordinates of the other
endpoint C.

Answer 1

Answer: A

Explanation:

Edge 2023

Answer 2

Explanation:

Hey there!

Given;

Midpoint is (-1,3) and one endppint is; A(4,-1).

Let the coordinates of C be (x,y).

Use the midpoint formula.

`(x</u><u>,</u><u>y) = ( (x1 + x2)/(2) </u><u>,</u><u>(y1 + y2)/(2) )`

Put all values.

`( - 1</u><u>,</u><u>3) = ((4 + x)/(2) </u><u>,</u><u>( - 1 + y)/(2) )`

Since, they are equal, equating with their corresponding elements we get,

`- 1 = (4 + x)/(2)`

Simplify it.

`- 2 = 4 + x`

`x = - 6`

Again,

`3 = ( - 1 + y)/(2)`

Simplify it.

`6 = - 1 + y`

`y = 7`

Therefore the another endpoint is C(-6,7).

Hope it helps...