Q:

Find the coordinates for the mid point with endpoints (3,5) and (-2,0)

Accepted Solution

A:
Hello!The answer is:The coordinates of the midpoint are:[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]Why?We can find the midpoint of the segment with the given endpoints using the following formula.The midpoint of a segment is given by:[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]We are given the points:[tex](3,5)\\[/tex]and[tex](-2,0)\\[/tex]Where,[tex]x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0[/tex]So, calculating the midpoint, we have:[tex]MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})[/tex][tex]MidPoint=(\frac{1}{2},\frac{5}{2})[/tex][tex]MidPoint=(0.5,2.5)[/tex]Hence, we have that the coordinates of the midpoint are:[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]Have a nice day!