Answer:
The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
Step-by-step explanation:
We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
The midpoint of line segment can be found using formula:
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We have [tex]x_1=14, y_1=-8, x_2=12, y_2=-1[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})[/tex]
So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
