Answer:
The coordinates of the diner are [tex]M(7,5)[/tex]
Step-by-step explanation:
we know that
To find out the he coordinates of the diner, we need to determine the midpoint between lan's home and Joe's home
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
we have
the point (4, 4) and the point (10, 6)
substitute the given values
[tex]M(\frac{4+10}{2},\frac{4+6}{2})[/tex]
[tex]M(7,5)[/tex]
therefore
The coordinates of the diner are [tex]M(7,5)[/tex]