Question
In Exercises 13-16, the endpoints of
are given. Find
the coordinates of the midpoint
.
Example 3
13.
and
the coordinates of the midpoint
13.
Ask by Morrison Nichols. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The midpoint
is at
.
Solution
To find the midpoint
of the line segment
with endpoints
and
, you can use the Midpoint Formula. The formula is given by:
Where:
-
are the coordinates of point . -
are the coordinates of point .
Step-by-Step Calculation:
-
Identify the coordinates:
-
: Here, and . -
: Here, and .
-
-
Apply the Midpoint Formula:
-
Calculate the components:
-
X-coordinate of
: -
Y-coordinate of
:
-
-
Combine the results:
Answer:
The midpoint has coordinates
.
The midpoint
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Mind Expander
To find the midpoint
of the line segment
, you can use the midpoint formula, which states that if you have two points
and
, the midpoint
is given by:
Substituting the coordinates of points
and
:
So, the coordinates of the midpoint
are
.