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Sagot :
Endpoints A(-2,-4) and B(6,2) To make it easier I called the endpoints A and B.
To calculate the coordinates of the midpoint you have two ways, one is through the graph, the second one is using the coordinates.
Using the coordinates you have to calculate the distance between the lower coordinate and the upper coordinate and divide it by two to get the midpoint.
y-axis
[tex]d_y=Y_B-Y_A=2-(-4)=2+4=6[/tex]Divide it by two:
dm= 6/2=3
3 is the distance between the endpoints and the midpoints.
Now using the y-coordinates of one of them you can calculate the y-coordinate of the midpoint M.
If its from the upper endpoint you have to subtract it:
[tex]y_m=y_A-d_m=2-3=-1[/tex]If its from the lower endpoint you have to add it:
[tex]y_M=y_A-d_M=-4+3=-1[/tex]Either way you get that they-coordinate from the midpoint is -1
x-axis
Same procedure as before, first step is to calculate the distance between the x-coordinates
[tex]dx=X_B-X_A=6-(-2)=6+2=8[/tex]Now divide it by 2 to get the distance between the endpoints and the mispoint.
dm=8/2=4
Now you can calculate the coordinate, either subtracting it from the x-coordinate of the upper endpoint or adding it to the x-coordinate of the lower endpoint
[tex]x_M=x_B-d_M=6-4=2[/tex]or
[tex]x_M=x_A+d_M=-2+4=2[/tex]The x-coordinate for the midpoint is 2
Then the coordinates for the midpoint of the segment line will be M(2,-1)
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