Verified Answer :
Answer:
Option 2 is correct.
Step-by-step explanation:
Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.
Mid-point formula states that if \((x_1,y_1)\) and \((x_2,y_2)\) are the coordinates of end points of line segment then the coordinates of mid-point are
\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
∴ Coordinates of mid-point of line segment joining the points (3, 10) and (7, 8) are
\((\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)\)
Hence, option 2 is correct.
Answer:
The midpoint of line segment is (5,9).
Step-by-step explanation:
Given : Line segment whose endpoints are (3, 10) and (7, 8).
To find : Find the midpoint of the line segment .
Solution : We have given that endpoints (3, 10) and (7, 8).
By the midpoint segment formula :
Midpoint :
(\(\frac{x_{1}+x_{2}}{2}\) , \(\frac{y_{1}+y_{2}}{2}\)).
Here, the coordinate of \(x_{1}\) = 3 , \(x_{2}\) = 7 ,
\(y_{1}\) = 10 , \(y_{2}\) = 8 ,
Plugging values in formula ,
Midpoint =(\(\frac{3+7}{2}\) , \(\frac{10+8}{2}\)).
Midpoint =(\(\frac{10}{2}\) , \(\frac{18}{2}\)).
Midpoint = (5 , 9).
Therefore, the midpoint of line segment is (5,9).