Example Question #1 : Midpoint Of Line Segments
Give the coordinates of the midpoint of the line segment whose endpoints are the intercepts of the line of the equation
None of the other choices gives the correct response.
The x-intercept and y-intercept of the line of an equation can be found by substituting 0 for and , respectively, as follows:
Substitute and simplify:
Solve for by dividing by 2 on both sides:
The x-intercept of the line is located at
The y-intercept can be found by setting and solving for in a similar fashion:
The y-intercept is located at .
The midpoint of a line segment, given its endpoints and , is located at
The midpoint is located at .
Example Question #2 : Midpoint Of Line Segments
What is the midpoint of the line segment created by the points and ?
The midpoint of the line segment between two points
is given by the formula
Thus, since the line segment is generated by
applying the midpoint formula we have
as the midpoint.
Example Question #3 : Midpoint Of Line Segments
What is the midpoint between and ?
Step 1: Recall the midpoint Formula....
, where is the first point and is the second point
Step 2: Identify the points and their specific terms...
Step 3: Plug in the values into the midpoint formula...