Answer:
Midpoint = [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Use the Midpoint Formula to help you determine the midpoint of the following points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
-Apply the following point onto that formula:
[tex]m = \frac{-8 - 2}{-4 - 4}[/tex]
-Calculate the equation:
[tex]m = \frac{-8 - 2}{-4 - 4}[/tex]
[tex]m = -\frac{3}{4}[/tex]
So, the midpoint is [tex]-\frac{3}{4}[/tex].
The midpoint of a segment divides the segment into equal halves.
The midpoint of (4,-8) and (-4,2) is (0,-3)
Given that:
[tex](x_1,y_1) = (4,-8)[/tex]
[tex](x_2,y_2) = (-4,2)[/tex]
The midpoint is calculated as follows:
[tex](x.y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
So, we have:
[tex](x.y) = (\frac{4-4}{2},\frac{-8 + 2}{2})[/tex]
[tex](x.y) = (\frac{0}{2},\frac{-6}{2})[/tex]
[tex](x.y) = (0,-3)[/tex]
Hence, the midpoint of (4,-8) and (-4,2) is (0,-3)
Read more about midpoints at:
https://brainly.com/question/2441957
