Question

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.

Answer 1

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:

$C=\frac{A+M}{2}\\ \\C=\frac{7y+\frac{3x+7y}{2} }{2}\\ \\C=\frac{\frac{14y+3x+7y}{2} }{2}\\ \\C=\frac{21y+3x }{4}$

Hence the coordinates for point C is $C=\frac{21y+3x }{4}$