ACT Math : How to find the midpoint of a line segment
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Example Question #14 : Midpoint Formula
What is the midpoint of the line with endpoints:
To find the midpoint given two points, use the formula:
Example Question #141 : Algebra
A line segment has endpoints at 
What is the midpoint of the line segment?
The midpoint can be found by using equations that calculate the values of its x- and y-coordinates. The x-coordinate can be found using the following equation:
Likewise, we will calculate the y-coordinate using another formula:
These formulas take the average of each coordinate separately in order to calculate the midpoint. In order to solve our question we will substitute in our given values and solve.
Example Question #12 : How To Find The Midpoint Of A Line Segment
A school superintendent is observing bus routes of students using a town map overlaid with a coordinate plane. Two students, Jon and Steve, live on the same street. Their houses correspond to the coordinates of (-3, 4) and (5,8), respectively, on the map. If there is a bus stop exactly between their two houses, what are the coordinates of the bus stop on the map?
The midpoint formula must be used to find the midpoint of the line segment joining Jon's and Steve's houses. Use the following formula to find the midpoint:
In this formula, 
In this case, the bus stop is at the following coordinate on the town map:
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