M is the midpoint of AB and C is the midpoint of AM . Let the coordinate of A = 7y and the coordinate of B = 3x. Find the coordinate of C in terms of x and y.

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:

Hence the coordinates for point C is

the third picture

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2