Question

The midpoint of a segment has coordinates (–7, 4). If one endpoint of the segment has coordinates (6, –2), what are the coordinates of the other endpoint? Write the ordered pair in the blanks below.

Answer 1

Answer:

(-20, 10)

Step-by-step explanation:

(6, -2) -> (-7, 4)

left 13 and up 6

-7 left 13 is -20

4 up 6 is 10

(-20, 10)

Answer 2

If one endpoint of the segment has coordinates (6, –2),

the coordinates of the other endpoint is (-20,10)

Explanation :

The midpoint of a segment has coordinates (–7, 4). If one endpoint of the segment has coordinates (6, –2)

Let (x2,y2) be the other end point

First end point (x1,y1) is (6,-2)

Lets apply midpoint formula to find other endpoint

$(\frac{x_1+x_2}{2} ,\frac{y_2+y_2}{2} )$

Plug in the values inside the formula and make it equal to (-7,4)

$(\frac{x_1+x_2}{2} ,\frac{y_2+y_2}{2} )\\(\frac{6+x_2}{2} ,\frac{-2+y_2}{2} )=(-7,4)\\\frac{6+x_2}{2} =-7\\6+x_2=-14\\x_2=-14-6\\x_2=-20\\\\\\\\\frac{-2+y_2}{2}=4\\-2+y_2=8\\y_2=8+2\\y_2=10$

Other endpoint is (-20,10)

Learn more : brainly.com/question/19085709