Calculate the midpoint of the line segment with endpoints [math](–2, 1)[/math] and [math](4, 10)[/math].

[list=1][br][*]Determine the endpoints of the line segment.[br][*]Substitute the values of ([math]x_{1}[/math], [math] y_{1}[/math]) and ([math]x_{2}[/math], [math]y_{2}[/math]) into the midpoint formula.[br][*]Simplify.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.

Show mathematically that [math](1, 5.5)[/math] is the midpoint of the line segment with endpoints [math](–2, 1)[/math] and [math](4, 10)[/math].

[list=1][br][*]Calculate the distance between the endpoint [math](–2, 1)[/math] and the midpoint [math](1, 5.5)[/math].[br][*]Calculate the distance between the endpoint [math](4, 10)[/math] and the midpoint [math](1, 5.5)[/math].[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.