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Example Questions
Example Question #1 : Points And Distance Formula
Find the length of the line segment from the origin to the point (3, 4).
7
25
1
5
49
5
Here, we need to use the distance formula between the two points (0, 0) and (3, 4).
Example Question #1 : How To Find The Length Of A Line With Distance Formula
I have two points, (–8,3) and (6,–1). If I want to connect those two points with a line segment, how long would that line segment need to be?
Infinite
To determine how long the line needs to be to connect those two points, we need to use the distance formula, shown below.
The two points are and
. In our case, the points are (–8, 3) and (6, –1).
So in order to connect the two points, the length of the line needs to have .
Example Question #3 : How To Find The Length Of A Line With Distance Formula
What is the distance between the points and
?
To solve problems like this, we simply need to use the distance formula, . Plugging in the
and
values from our points yields
, or
. Solving this radical gives us a value of
, or 5.
Example Question #4 : How To Find The Length Of A Line With Distance Formula
Find the length of the line segment with endpoints at and
.
None of the other answers are correct.
None of the other answers are correct.
Use the distance formula, with :
Therefore, none of the integer answer choices are correct.
Example Question #5 : How To Find The Length Of A Line With Distance Formula
Find the distance between the two points and
.
The distance between two points can be found with the equation . Substituting in values you get
. This means that the answer is
.
Example Question #6 : How To Find The Length Of A Line With Distance Formula
Find the distance between the midpoints of line A with the points and
and line. B with the points
and
.
Use the midpoint formula:
Remember points are written in the following format:
Substitute for line A
The midpoint of line A is .
Substitute for line B.
The midpoint of line B is .
Now we can find the distance between these two points using the distance formula:
Substitute the using the known values for lines A and B.
Simplify.
The distance between the two midpoints of lines A and B is .
Example Question #7 : How To Find The Length Of A Line With Distance Formula
Find the distance between the following points:
Use the equation to calculated the distance between two points:
where
we can find the distance.
Example Question #1 : How To Find The Length Of A Line With Distance Formula
Find the length of the line between the two points provided using the distance formula.
It is definately possible to find the distance from point A to point B, given the coordinates.
We can do this by using the formula:
.
The points provided can be plugged into this formula as follows:
.
This is the length.
Example Question #9 : How To Find The Length Of A Line With Distance Formula
Find the length of the line between the two points provided using the distance formula.
It is definately possible to find the distance from point A to point B, given the coordinates:
.
We can do this by using the formula:
.
The points provided can be plugged into this formula as follows:
.
This is the length.
Example Question #10 : How To Find The Length Of A Line With Distance Formula
Find the length of the line between the two points provided using the distance formula.
It is definately possible to find the distance from point A to point B, given the coordinates:
.
We can do this by using the formula:
.
The points provided can be plugged into this formula as follows:
.
This is the length.
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