Answer:
The midpoint is [tex](\frac{7}{2}, -\frac{9}{2})[/tex]
Step-by-step explanation:
The formula for finding the midpoint of a line is [tex](\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )[/tex]
This means the formula for the x-coordinate of the midpoint is [tex]\frac{x_{1} +x_{2} }{2}[/tex], and the formula for the y-coordinate of the midpoint is [tex]\frac{y_{1}+y_{2} }{2}[/tex].
First, let's find the x-coordinate of the midpoint:
Add the two x values of the coordinates given, then divide that by two.
[tex]\frac{x_{1} + x_{2} }{2} = \frac{6+1}{2} =\frac{7}{2}[/tex]
Next, let's find the y-coordinate of the midpoint:
Add the two y values of the coordinates given, then divide that by two.
[tex]\frac{y_{1} +y_{2} }{2} = \frac{(-8) +(-1)}{2} = - \frac{9}{2}[/tex]
Therefore, the midpoint of the line segment is [tex](\frac{7}{2}, -\frac{9}{2})[/tex]. Hope this helps!
