Answer:
The midpoint of the given coordinates is [tex](\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)[/tex].
Step-by-step explanation:
We have given two coordinates (3,15) and (20,8).
Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).
We have to find out the mid point M(x,y) of the line segment PQ.
Solution,
By the mid point formula of coordinates, which is;
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
On substituting the given values, we get;
[tex]M(x,y)=(\frac{3+20}{2}, \frac{15+8}{2})\\\\M(x,y)=(\frac{23}{2},\frac{23}{2})[/tex]
We can also say that [tex]M(x,y)=(11.5,11.5)[/tex]
Hence The midpoint of the given coordinates is [tex](\frac{23}{2},\frac{23}{2})\ or\ (11.5,11.5)[/tex].