### All High School Math Resources

## Example Questions

### Example Question #11 : Midpoint And Distance Formulas

What is the midpoint of a line segment whose endpoints are ?

**Possible Answers:**

**Correct answer:**

The midpoint is the average of the endpoints.

### Example Question #12 : Midpoint And Distance Formulas

What is the midpoint of a line segment connecting the points and ?

**Possible Answers:**

**Correct answer:**

Use the midpoint formula, , with our points and .

### Example Question #13 : Midpoint And Distance Formulas

Find the midpoint between these two points:

and

**Possible Answers:**

**Correct answer:**

To find the midpoint of a line segment, use the standard midpoint equation:

Plug in the given points and simplify:

### Example Question #14 : Midpoint And Distance Formulas

Find the midpoint of the line segment connecting and .

**Possible Answers:**

**Correct answer:**

To find the midpoint of a line segment, we find the average of the -values and the average of the -values. Thus, we have that:

Midpoint =

### Example Question #1 : How To Find The Endpoints Of A Line Segment

What is the length of a line with endpoints and ?

**Possible Answers:**

**Correct answer:**

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

Plug in our given numbers to solve:

### Example Question #16 : Midpoint And Distance Formulas

The points A, B, and C reside on a line segment. *B *is the midpoint of *AC.* If line AB measures 6 units in length, what is the length of line *AC*?

**Possible Answers:**

**Correct answer:**

If *B *is the midpoint of *AC, *then *AC *is twice as long as *AB. *We are told that *AB*=6.

The diagram shows six units between points *A* and *B,* with *B* as the midpoint of segment *AC*. Therefore segment *BC* is also six units long, so line *AC* is twelve units long.

### 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 ?

**Possible Answers:**

**Correct answer:**

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 ?

**Possible Answers:**

**Correct answer:**

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 ?

**Possible Answers:**

**Correct answer:**

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 ?

**Possible Answers:**

**Correct answer:**

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

Plug in our given numbers to solve:

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