Midpoint Formula

Definition: A midpoint is the point halfway between a line segment’s endpoints. To find a midpoint on the coordinate plane, we can use the Midpoint Formula:

midpointformula

Example: Find the midpoint of a line segment with endpoints at ( 0 , -4 ) and ( 6 , 2 ).

Solution:

We can use the midpoint formula to find the midpoint of a line segment given its endpoints.

Step 1: Plug the given endpoints into the formula, where ( 0 , -4 ) = ( x₁ , y₁ ) and ( 6 , 2 ) = ( x₂, y₂ )

Step 2: Simplify the equation to find the coordinates of the endpoint:

x value: (0 + 6) /2 = 3
y value: (-4 + 2) /2 = -1

Step 3: The coordinates of the midpoint are ( 3 , -1 ).

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