# High School Math : How to find the length of a line with distance formula

## Example Questions

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### Example Question #1 : How To Find The Length Of A Line With Distance Formula

What is the length of a line segment with end points  and ?

Explanation:

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

### Example Question #2 : How To Find The Length Of A Line With Distance Formula

What would be the length of a line with endpoints at  and ?

Explanation:

The formula for the length of line is the distance formula, which is very similar to the Pythagorean theorem.

Plug in the given values and solve for the length.

### Example Question #3 : How To Find The Length Of A Line With Distance Formula

What line goes through the points and ?

Explanation:

Find the slope between the two points:

Next, use the slope-intercept form of the equation:

or where

So the equation becomes or in standard form .

### Example Question #4 : How To Find The Length Of A Line With Distance Formula

What is the length of a line with endpoints at  and ?

Explanation:

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

### Example Question #5 : How To Find The Length Of A Line With Distance Formula

What is the length of a line with endpoints at  and ?

Explanation:

The formula for the length of a line is very similiar to the pythagorean theorem:

Plug in our given numbers to solve:

### Example Question #6 : How To Find The Length Of A Line With Distance Formula

Find the distance between points  and .

Explanation:

Use the distance formula:

Substitute the given points into the formula:

### Example Question #7 : How To Find The Length Of A Line With Distance Formula

What is the length of a line with endpoints of and ?

Explanation:

The distance formula is just a reworking of the Pythagorean theorem:

Expand that.

Plug in our given values.

### Example Question #8 : How To Find The Length Of A Line With Distance Formula

What is the distance between and ?

Explanation:

Let and .

The distance formula is given by .

Substitute in the given points:

### Example Question #9 : How To Find The Length Of A Line With Distance Formula

A line segment has endpoints at  and . What is the distance of this segment?

Explanation:

To find the distance, we use the distance formula: .

Expand that:

Plug in our given values.

### Example Question #10 : How To Find The Length Of A Line With Distance Formula

If a line has a length of , and the endpoints are  and , what is the value of ?