Finding an Endpoint


Example 1:

We have a line segment with one endpoint and the midpoint known.The object is to find the other endpoint.

We've included a graph, but you won't always have one. Don't guess; the graph could be inaccurate, or the answer could be a decimal.

We're going to use the midpoint formula, and then solve it backwards.




where (-5, -3) is one endpoint, (x, y) is the other, and (-1, -2) is the midpoint.

We now have two equations to solve:




Here's a second example, without a graph:

Example 2:

"A line segment has midpoint (-3, 0.5) and one endpoint (-1, 5). Find the other endpoint".

We'll call the missing endpoint (x, y)
Write the midpoint formula backwards and fill in point (-1, 5) and the midpoint (-3, 0.5)




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Check out our page about finding the length of a line segment


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