Question

What is the midpoint of the line segment with endpoints (5, –1) and (–9, 7)?​

Answer 1

Step-by-step explanation:

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Answer 2

The midpoint of the line segment with endpoints (5, –1) and (–9, 7) is ( - 2 , 3)

Given :

The line segment with endpoints (5, –1) and (–9, 7)

To find :

The midpoint of the line segment

Concept :

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$

The midpoint of the line AB is

$\displaystyle \sf{ \bigg( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} \bigg)}$

Solution :

Step 1 of 2 :

Write down the given points

Here it is given that the line segment has endpoints (5, –1) and (–9, 7)

Step 2 of 2 :

Find midpoint of the line segment

The midpoint of the line segment

$\displaystyle \sf{ = \bigg( \frac{5 - 9 }{2} , \frac{ - 1 + 7}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{ - 4 }{2} , \frac{ 6}{2} \bigg)}$

$\displaystyle \sf{ = ( - 2 , 3)}$

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