Point M divides line segment AB in their midpoint.
This means that the segments AM and MB have the same length.
Be A(-4, 2) and M(-5,4) the coordinates of endpoint A and midpoint M:.
First step is to plot both poins and line segment AM:
To determine the coordinates of endpoint B, first you have to determine the distance between A and M with respect to their y-coordinates and x-coordinates.
Distance over the x-coordinates:
[tex]d_x=x_M-x_A=(-4)-(-5)=-4+5=1[/tex]Next subtract this distance to the x-coordinate of M to calculate the x-coordinate of B:
[tex]x_B=x_M-d_x=-5-1=-6[/tex]Distance over the y-axis:
[tex]d_y=y_M-y_A=4-2=2[/tex]Next add it to the y-coordinate of M to calculate the y-coordinate of B:
[tex]y_B=y_M+d_y=4+2=6[/tex]The coordinates of B are:
[tex]B(-6,6)[/tex]
