How to find the length of a line with distance formula

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Algebra › How to find the length of a line with distance formula

Questions 1 - 10
1

Find the length of the line with the following endpoints:

Explanation

In order to find the distance between two points on a line, use the formula below:

Plug in the points (2,1) and (7,3) and solve:

This gives a final answer of

2

Find the length of the line connecting the following two points. Simplify your answer.

and

Explanation

To solve this problem we need to remember the distance formula for points on a coordinate plane:

In this case, and

3

Find the length of the line with the following endpoints:

Explanation

In order to find the distance between two points on a line, use the formula below:

Plug in the points (1,2) and (15,20) and solve:

This gives a final answer of

4

Find the length of the line connecting the following two points. Simplify your answer.

and

Explanation

To solve this problem we need to remember the distance formula for points on a coordinate plane:

In this case, and

5

Find the length of the line connecting the following two points. Simplify your answer.

and

Explanation

To solve this problem we need to remember the distance formula for points on a coordinate plane:

In this case, and

6

Steven and Joel are on a massive grid. Steven is located at point on the grid and Joel is located at . How far away from each other are they?

None of these

Explanation

The distance formula is:

Plug in these points into the distance formula.

Reduce:

7

Find the length of the line with the following endpoints:

Explanation

In order to find the distance between two points on a line, use the formula below:

Plug in the points (-1,-6) and (12,-3) and solve:

This gives a final answer of

8

A line is connected by the points and . What is the distance of this line?

Explanation

Write the distance formula.

Substitute the values of the points inside the equation.

Simplify by order of operations.

The length of the line is .

9

Find the length of the line between the two points provided using the distance formula.

Explanation

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.

10

What is the distance between the following points?

Explanation

What is the distance between the following points?

To find distance, use distance formula:

Note, if you cannot recall distance formula think of Pythagorean theorem. When using distance formula, you are simply finding the length of the hypotenuse of a right triangle.

Anyway, start plugging in our points and simplify to the answer. We'll call our first point 1 and our second point 2

So our answer is 52.3

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