Respuesta :

gustanika
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)

To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1

To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2

ANSWER
The midpoint is (1,2)

The midpoint of the line segment is (1, 2).

We have to determine, the midpoint of the line segment with endpoints (–1, 7) and (3, –3).

According to the question,

To determine the midpoint of line segment following all the steps given below.

The midpoint of the line segment is by using the following formula;

[tex]\rm x = \dfrac{x_1+x_2}{2}\\\\y = \dfrac{y_1+y_2}{2}[/tex]

Then,

The midpoint of the line segment with endpoints (–1, 7) and (3, –3) is,

[tex]\rm x = \dfrac{x_1+x_2}{2} \\\\ x = \dfrac{-1+3}{2}\\\\x = \dfrac{2}{2}\\\\x =1[/tex]

[tex]\rm y = \dfrac{y_1+y_2}{2}\\\\y=\dfrac{7-3}{2}\\\\y = \dfrac{4}{2}\\\\y =2[/tex]

Hence, the required midpoint of the line segment is (1, 2).

To know more about Midpoint click the link given below.

https://brainly.com/question/264331

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