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

In this case,  and 

The question is merely asking the distance between two points. This kind of problem can be quickly solved for by using the distance formula:

, where  is distance and , , , and  come from the given points.

This problem merely needs to have the  and  values substituted in for so we can solve for . 

Arbitrarily assigning  and , we substitute in our values as follows:

The question is merely asking the distance between two points. This kind of problem can be quickly solved for by using the distance formula:

, where  is distance and , , , and  come from the given points.

This problem merely needs to have the  and  values substituted in for so we can solve for . 

Arbitrarily assigning  and , we substitute in our values as follows:

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

What is the length of the distance between the points  and ?

Find distance with distance formula, which is quite similar to Pythagorean Theorem

Now, let's call  point 1 and  point 2, then let's plug in and find d!

So the distance is 15

Find the distance between the following points:

To find the distance between two points, use distance formula.

Distance formula is closely related to Pythagorean theorem. Pythagorean Theorem is:

Which can be rewritten as:

Now, in distance formula, we are essentially finding the hypotenuse of a right triangle.

Anyway, to find the distance, we simply need to plug in the points we are given and simplify:

Continue

So our hypotenuse (distance) is 30.

If you are really observant, you can see that the other two sides of the triangles are 24 and 18.

Write the distance formula.

Substitute the values of the points inside the equation.

Simplify by order of operations.

The length of the line is .

To find the distance between two points using the distance formula, we use the following formula:

where  and  are the given points.  So, we can substitute the points  and .

Therefore, the distance is .

To solve, we will use the distance formula:

where  and  are the given points.  Given the points

 and 

we can substitute into the formula.  We get,

Therefore, the length of the line with the endpoints (-7, 2) and (5, 9) is .

The distance formula equation is as follows:

Note that  simply refer to the 'first  and ' and 'second  and ' points, these are simply for keeping track and do not require any further computation. 

The  and  coordinates given can be plugged in to solve for the distance between these two points.