Question

The midpoint of a line AD (1.2 Point coordinates of (3.-3) and point Decoding Find the value of x.

Answer 1

The value of x for the endpoint D of the line segment AD, given the midpoint (1, 2) and the other endpoint A(3, -3), is x = −1

How to find a value?

Given Data:

Endpoint A is at (3, -3).

Midpoint is at (1, 2).

x = ?

The midpoint formula in two dimensions is
`\(\left( (x_1 + x_2)/(2), (y_1 + y_2)/(2) \right)\)`, where
`\( (x_1, y_1) \)` and
`\( (x_2, y_2) \)` are the coordinates of the two endpoints.

For the x-coordinates:

`\( (3 + x)/(2) = 1 \)`.

Solving for x:

`\[ 3 + x = 2 * 1 \]`

`\[ 3 + x = 2 \]`

`\[ x = 2 - 3 \]`

`\[ x = -1 \]`

The x-coordinate of endpoint D is -1.

Thus, with the given midpoint and one endpoint, the x-coordinate of the other endpoint D is calculated to be -1.