Vocabulary

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Vocabulary
The distance between any two points (x1, y1) and
(x2, y2) is
Distance Formula
The midpoint of a line segment is the point on
the segment that is equidistant from the
endpoints.
Midpoint
The midpoint M of a line segment with endpoints
A(x1, y1) and B(x2, y2) is
Midpoint Formula
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Find the distance between two points
Example 1
Find the distance between (4, -3) and (-7, 2).
Distance Formula
Substitute.
Simplify.
The distance between the points is ______ units.
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Checkpoint. Complete the following exercises.
1. Find the distance between (2, -3) and (5, 1).
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Find the midpoint of a line segment
Example 3
Find the midpoint of the line segment with
endpoints (-3, 7) and (-1, 11).
The midpoint of the line segment is (____, ____).
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Checkpoint. Find the midpoint of the line segment
with the given endpoints.
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Checkpoint. Find the midpoint of the line segment
with the given endpoints.
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Find a missing coordinate
Example 2
Find the distance between (5, a) and (9, 6) is
Distance Formula
Substitute.
Simplify.
The distance between the points is ______ units.
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