Answer:
[tex](-4, -\frac{1}{2})[/tex]
Step-by-step explanation:
Hi there!
We are given the line segment, with the end points AB
The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).
We want to find the midpoint of the line segment AB
The midpoint formula is given as [tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates
We have two coordinates, which is what we need, but let's label their values to avoid any confusion:
[tex]x_1=-5\\y_1=-4\\x_2=-3\\y_2=3[/tex]
Now substitute those values into the formula:
[tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex](\frac{-5+ -3}{2}, \frac{-4+ 3}{2})[/tex]
Now simplify the numerator and denominator
[tex](\frac{-8}{2}, \frac{-1}{2})[/tex]
Simplify again:
The midpoint is (-4, [tex]-\frac{1}{2}[/tex])
Hope this helps!
