**what is the length of line segment pq? 4 units 5 units 6 units 9 units** This is a topic that many people are looking for. **amritsang.org** is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, ** amritsang.org ** would like to introduce to you **Finding the length of a line segment**. Following along are instructions in the video below:

Im brandon grizzly. Im a high school math teacher were going to to find the length of this line segment a b a is negative 5 negative and b is 4 negative 1 lets plot the points first negative 5 negative 3 is down here thats a and b is 4 negative 1 over 4 down 1. Theres b and since this is a line segment.

Were going to connect the dots. But we are not extending beyond them and we are not putting arrows on the end because that would mean that this is an infinite line. But we actually only have a segment in this case.

So we dont have to draw the picture to do this we can now solve our find the lengths. Calculate the length algebraically. So the length of segment.

A b is equal to were going to do is take the difference in the x values square. That difference the difference in the y values square that difference sum them and then divide take the square root of the whole thing. So here is the formula that you may be familiar with we will take x2 minus x1.

The difference in the x values and we will square that and to that were going to add this same thing with the ys y2 minus. Y1 and square that difference in the xs difference in the ys square. Each of them and add them up so difference in the x values well start with that lets lets make this our x2.

It doesnt actually matter. Which one you have first. But lets be consistent.

Well make be our number two points so 4 minus negative. 5. Ill put that in a square bracket to be really clear and thats going to be squared and then same with the y value is negative 1 minus negative.

3. Thatll be squared and take the square root of the whole thing ok. 4.

Minus negative. 5. Thats the same as 4 plus.

5. And ill get 9 squared over here. I have 1 minus negative.

3. So thats the same as 1 plus. 3.

Which is 2 and ill square that so i have lets see. 9. Squared is 81 2.

Squared is 4. That means this is the square root of 85. Now 85.

Is not a perfect square. So it does not give us a. Nice integer answer.

We have instead approximately 9 point 2 2. So this answer here is exactly right and this answer here is approximately right and so thats why the little dot above the equal sign you can also put a little squiggle instead of the dot. Either.

One says that this is an approximate answer thanks. .

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