Answer:
The answer is below
Step-by-step explanation:
The coordinate of the midpoint of a line is gotten by adding the values of the two end points and then dividing the result by 2.
Given that M is the midpoint of AB, A = 7y and B = 3x, hence the coordinate of point M is given as:
M = (A + B)/2 = (7y + 3x)/2
Also, C is the midpoint of AM, hence the coordinates of point C is given as:
[tex]C=\frac{A+M}{2}\\ \\C=\frac{7y+\frac{3x+7y}{2} }{2}\\ \\C=\frac{\frac{14y+3x+7y}{2} }{2}\\ \\C=\frac{21y+3x }{4}[/tex]
Hence the coordinates for point C is [tex]C=\frac{21y+3x }{4}[/tex]
