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 basic mathematics image

Midpoint of a line segment



To find the midpoint of a line segment on the coordinate system, simply take the average of the x-coordinates and the average of the y-coordinates

Let (x1 , y1) and (x2 , y2) represent the endpoints of a line segment.

Therefore, the formula to get the midpoint is: ((x1 + x2) ÷ 2 , (y1 + y2) ÷ 2)

Example #1:

Graph (2, 4) and (4, 8) and find the midpoint

((x1 + x2) ÷ 2 , (y1 + y2) ÷ 2) = ((2 + 4) ÷ 2, (4 + 8)÷ 2) = ( 6 ÷ 2, 12 ÷ 2) = (3 , 6)

The graph is shows below:

midpoint-of-a-segment-image


Example #2:

Graph (-4, 2) and (0, 6) and find the midpoint

((x1 + x2) ÷ 2 , (y1 + y2) ÷ 2) = ((-4 + 0) ÷ 2, (2 + 6)÷ 2) = ( -4 ÷ 2, 8 ÷ 2) = (-2 , 4)

The graph is shows below:

midpoint-of-a-segment-image







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