All HiSET: Math Resources
Example Questions
Example Question #91 : Measurement And Geometry
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:
x-intercept:
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
;
substituting accordingly,
The midpoint is located at .
Example Question #1 : 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
and
is given by the formula
.
Thus, since the line segment is generated by
and
applying the midpoint formula we have
as the midpoint.
Example Question #91 : Measurement And Geometry
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...
Simplify...
All HiSET: Math Resources
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