Answer:
coordinates of M will be (4, [tex]\frac{13}{2}[/tex])
Step-by-step explanation:-
To find the coordinates of the midpoint, we can use this equation:-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
M is the midpoint of AC, where A is (2,3) and B is (6, 10)
So, x1 will be 2,
x2 will be 6
y1 will be 3
and y2 will be 10.
So, substituting these in the equation, we get:-
[tex]\frac{2 + 6}{2} , \frac{3+10}{2}[/tex]
[tex]\frac{8}{2} , \frac{13}{2}[/tex]
4, [tex]\frac{13}{2}[/tex]
So, the coordinates of the point M will be 4, [tex]\frac{13}{2}[/tex]
