Answer:
coordinates of M will be (4,
)
Step-by-step explanation:-
To find the coordinates of the midpoint, we can use this equation:-
![(x1 + x2)/(2) , (y1 + y2)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/26r3xcx7d9opg1i1vjxpzryb6er9ye0nmu.png)
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:-
![(2 + 6)/(2) , (3+10)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/528x7l7rxfhq8nbq4hsmp9wm4kxktbe560.png)
![(8)/(2) , (13)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/3ft2vzuhic6x87f43zu7asji9msfdoo1o2.png)
4,
![(13)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/coi6l6wgpqjgtxan1y9tizauusxb2cvlvd.png)
So, the coordinates of the point M will be 4,
![(13)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/coi6l6wgpqjgtxan1y9tizauusxb2cvlvd.png)