How To Find Midpoint?

Identify the two endpoints: ( (x_1, y_1) ) and ( (x_2, y_2) )

Use the midpoint formula:

( text{Midpoint} = left(dfrac{x_1 + x_2}{2}, dfrac{y_1 + y_2}{2}right) )

If the endpoints are in 3D: ( (x_1, y_1, z_1) ) and ( (x_2, y_2, z_2) )

( text{Midpoint} = left(dfrac{x_1 + x_2}{2}, dfrac{y_1 + y_2}{2}, dfrac{z_1 + z_2}{2}right) )

If the endpoints are on a number line: ( x_1 ) and ( x_2 )

( text{Midpoint} = dfrac{x_1 + x_2}{2} )

For a horizontal segment where ( y_1 = y_2 )

Midpoint ( x )-value is ( dfrac{x_1 + x_2}{2} ), and midpoint ( y )-value is ( y_1 )

For a vertical segment where ( x_1 = x_2 )

Midpoint ( x )-value is ( x_1 ), and midpoint ( y )-value is ( dfrac{y_1 + y_2}{2} )

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