How do you find the coordinates of the midpoint of CM with endpoints C(1,-6) and M(7,5)?

Question

How do you find the coordinates of the midpoint of CM with endpoints  C(1,-6) and M(7,5)?

Hazel Anglin · Accepted Answer

undefined To find the coordinates of the midpoint of CM, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Using this formula, we can calculate the midpoint as follows:

Midpoint x-coordinate = (x1 + x2) / 2
Midpoint y-coordinate = (y1 + y2) / 2

For the given endpoints C(1, -6) and M(7, 5), we can substitute the values into the formula:

Midpoint x-coordinate = (1 + 7) / 2 = 8 / 2 = 4
Midpoint y-coordinate = (-6 + 5) / 2 = -1 / 2 = -0.5

Therefore, the coordinates of the midpoint of CM are (4, -0.5).

Julia Adams · Answer

#(x, y)=(4, -0.5)#

The co-ordinates of the mid-point of a line is given by - #(x, y)=(x_1+x_2)/2, (y_1+y_2)/2# #x_1=1# #x_2=7# #y_1=-6# #y_2=5# Then- #(x, y)=(1+7)/2, (-6+5)/2# #(x, y)=(8)/2, (-1)/2# #(x, y)=(4, -0.5)#