Answer:
A. (1, 2)
Step-by-step explanation:
To find the mid point of the line segment with end points ( -1, 7) (3, -3) we will follow the steps below:
First, write down the formula for finding the mid point of a lone segment.
The formula is :
( [tex]x_{m}[/tex], [tex]y_{m}[/tex]) = [tex](\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2} )[/tex]
From the question given;
The points given are: ( -1, 7) (3, -3)
x₁ = -1 y₁ = 7 x₂ = 3 y₂ = -3
We can now proceed to insert the values into the formula;
( [tex]x_{m}[/tex], [tex]y_{m}[/tex]) = [tex](\frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2} )[/tex]
( [tex]x_{m}[/tex], [tex]y_{m}[/tex]) = ( -1 + 3 / 2 , 7 -3 / 2)
=( 2/2 , 4/2)
=( 1, 2)
( [tex]x_{m}[/tex], [tex]y_{m}[/tex]) = (1, 2)
Therefore, the midpoints are ( 1,2)
