Question

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown number endpoint. Apply the midpoint formula, and solve the two equations for x and y. midpoint (-6, -20), endpoint (-4,-16)The other endpoint is___(Type an ordered pair.)

Answer 1

Given the coordinates:

midpoint(-6, -20)

Endpoint 1(-4, -16)

To find endpoint 2, apply the midpoint formula below:

$x_{m,\text{ }}y_{m\text{ }}=\text{ (}\frac{x1+x2}{2},\text{ }\frac{y1+y2}{2})$

Where,

(xm, ym) = (-6, -20)

(x1, y1) = (-4, -16)

(x2, y2) = unknown

Let's find the mising coordinates (x2, y2)

$\begin{gathered} \text{For x2:} \\ -6\text{ = }\frac{-4+x2}{2} \\ \\ -12\text{ = -4 + x2} \\ \\ x2\text{ = -12 + 4} \\ \\ x2\text{ = -8} \end{gathered}$$\begin{gathered} \text{For y2:} \\ -20\text{ = }\frac{-16+y2}{2} \\ \\ -40\text{ = -16 + y2} \\ \\ y2\text{ = -40 + 16} \\ \\ y2\text{ = }-24 \end{gathered}$

Therefore, the other endpoint is (-8, -24)

ANSWER:

(-8, -24)