Question

Plot the midpoint of segment AB . Then give its coordinates. I need help on number 1. Thank you

Answer 1

To find the midpoint of the segment AB.

The point A is,

$A(-3,3)$

The point B is,

$B(5,-2)$

So to find the midpoint value. we use the formula,

$\text{Midpoint of AB=(}\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

From the point A and B . we have the values,

$x_1=-3,y_1=3,x_2=5,y_2=-2$

Subsituting the value we get,

$\begin{gathered} M\text{idpoint of AB=(}\frac{-3+5}{2},\frac{3+(-2)}{2}) \\ \text{ =(}\frac{2}{2},\frac{1}{2}) \\ \text{ =(1,}\frac{1}{2}) \end{gathered}$

So the midpoint of AB is,

$(1,\frac{1}{2})$