Question

What is the midpoint of the segment from Point A (-5, 4) to Point B (3, -8)?

Answer 1

The midpoint is `(-1,-2)`

Explanation:

The midpoint formula can help us with that!

`M=((x_1+x_2)/2,(y_1+y_2)/2)`

If we let `(-5,4) -> (color(red)(x_1),color(blue)(y_1))` and `(3,-8)->(color(red)(x_2),color(blue)(y_2))` We then substitute this into the midpoint formula:

`M=(color(red)(-5+3)/2,color(blue)(4+(-8))/2)= (color(red)(-2)/2, color(blue)(-4)/2) = (color(red)(-1) color(blue)(-2))`

`:.` The coordinate for the midpoint of the line segment is `(-1,-2)`

Below is a graph of the line segment `(bar(AB))` along with the midpoint.