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The midpoint of a line segment is
(-1,7) and one endpoint
(4,5). What are the coordinates of the other endpoint?
(A)
(-6,9)
(B)
(9,3)
(C)
(-10,4)
()
(1.5,6)

$34$ . The midpoint of a line segment is $(-1,7)$ and one endpoint $(4,5)$ . What are the coordinates of the other endpoint? $\newline$ (A) $(-6,9)$ $\newline$ (B) $(9,3)$ $\newline$ (C) $(-10,4)$ $\newline$ () $(1.5,6)$

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Write a linear equation from two points

Full solution

Q.

34

. The midpoint of a line segment is

(-1,7)

and one endpoint

(4,5)

. What are the coordinates of the other endpoint?

\newline

(A)

(-6,9)

\newline

(B)

(9,3)

\newline

(C)

(-10,4)

\newline

()

(1.5,6)

Use midpoint formula: Use the midpoint formula to find the other endpoint. The midpoint formula is $(x_m, y_m) = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$ . Given midpoint $(-1,7)$ and one endpoint $(4,5)$ , solve for the other endpoint $(x_2, y_2)$ .
Solve for $x_2$ and $y_2$ : Solve for $x_2$ and $y_2$ . Isolate $x_2$ and $y_2$ in the equations.
Check calculations: Check the calculations for any math errors.

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