How To Find The Midpoint Of A Line Segment 9 Steps

January 22, 2023 · 3 min · 523 words · Lizzie Polland

Note that either pair of coordinates can serve as (x1, y1) or (x2, y2) – since you’ll just be adding the coordinates and dividing by two, it doesn’t matter which pair is first.

[(5 + 3)/2, (4 + -4)/2]

[(5 + 3)/2, (4 + -4)/2] = [(8/2), (0/2)] = (4, 0) The midpoint of the endpoints (5,4) and (3, -4) is (4,0).

A line is horizontal if the two y-coordinates of the endpoints are equal. For example, the line segment with the endpoints (-3, 4) and (5, 4) is horizontal. {“smallUrl”:“https://www. wikihow. com/images/thumb/f/f1/Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet1-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet1-Version-2. jpg”,“bigUrl”:"/images/thumb/f/f1/Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet1-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet1-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

License: <a target="_blank" rel="nofollow noreferrer noopener" class="external text" href="https://creativecommons. org/licenses/by-nc-sa/3. 0/">Creative Commons</a>
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<br />\n</p></div>"} A line is vertical if the two x-coordinates of the endpoints are equal. For example, the line segment with the endpoints (2, 0) and (2, 3) is vertical. {“smallUrl”:“https://www. wikihow. com/images/thumb/9/9b/Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet2-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet2-Version-2. jpg”,“bigUrl”:"/images/thumb/9/9b/Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet2-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-6Bullet2-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

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The horizontal line segment with the end points (-3, 4) and (5, 4) is 8 units long. You can find this by counting the spaces it takes up or by adding the absolute values of the x-coordinates: |-3| + |5| = 8 {“smallUrl”:“https://www. wikihow. com/images/thumb/5/53/Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet1-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet1-Version-2. jpg”,“bigUrl”:"/images/thumb/5/53/Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet1-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet1-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

License: <a target="_blank" rel="nofollow noreferrer noopener" class="external text" href="https://creativecommons. org/licenses/by-nc-sa/3. 0/">Creative Commons</a>
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<br />\n</p></div>"} The vertical line segment with the end points (2, 0) and (2, 3) is 3 units long. You can find this by counting the spaces it takes up or by adding the absolute values of the y-coordinates: |0| + |3| = 3 {“smallUrl”:“https://www. wikihow. com/images/thumb/6/6e/Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet2-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet2-Version-2. jpg”,“bigUrl”:"/images/thumb/6/6e/Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet2-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-7Bullet2-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

License: <a target="_blank" rel="nofollow noreferrer noopener" class="external text" href="https://creativecommons. org/licenses/by-nc-sa/3. 0/">Creative Commons</a>
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8/2 = 4 {“smallUrl”:“https://www. wikihow. com/images/thumb/8/8f/Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet1-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet1-Version-2. jpg”,“bigUrl”:"/images/thumb/8/8f/Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet1-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet1-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

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<br />\n</p></div>"} 3/2 = 1. 5 {“smallUrl”:“https://www. wikihow. com/images/thumb/9/92/Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet2-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet2-Version-2. jpg”,“bigUrl”:"/images/thumb/9/92/Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet2-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-8Bullet2-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

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To find the midpoint of the points (-3, 4) and (5, 4), just shift over 4 units either from the left or right to reach the middle of the segment. (-3, 4) shifted over 4 x-coordinates is (1, 4). You won’t need to change the y-coordinates since you know the midpoint will be on the same y-coordinate as the endpoints. The midpoint of (-3, 4) and (5, 4) is (1, 4). {“smallUrl”:“https://www. wikihow. com/images/thumb/8/88/Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet1-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet1-Version-2. jpg”,“bigUrl”:"/images/thumb/8/88/Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet1-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet1-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

License: <a target="_blank" rel="nofollow noreferrer noopener" class="external text" href="https://creativecommons. org/licenses/by-nc-sa/3. 0/">Creative Commons</a>
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<br />\n</p></div>"} To find the midpoint of the points (2, 0) and (2, 3), just shift over 1. 5 units either from the top or bottom to reach the middle of the segment. (2, 0) shifted up 1. 5 y-coordinates is (2, 1. 5). You won’t need to change the x-coordinates since you know the midpoint will be on the same x-coordinate as the endpoints. The midpoint of (2, 0) and (2, 3) is (2, 1. 5). {“smallUrl”:“https://www. wikihow. com/images/thumb/7/79/Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet2-Version-2. jpg/v4-460px-Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet2-Version-2. jpg”,“bigUrl”:"/images/thumb/7/79/Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet2-Version-2. jpg/aid1628172-v4-728px-Find-the-Midpoint-of-a-Line-Segment-Step-9Bullet2-Version-2. jpg",“smallWidth”:460,“smallHeight”:345,“bigWidth”:728,“bigHeight”:546,“licensing”:"<div class="mw-parser-output">

License: <a target="_blank" rel="nofollow noreferrer noopener" class="external text" href="https://creativecommons. org/licenses/by-nc-sa/3. 0/">Creative Commons</a>
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