### All HiSET: Math Resources

## Example Questions

### Example Question #1 : Properties Of Lines

Give the coordinates of the midpoint of the line segment whose endpoints are the intercepts of the line of the equation

.

**Possible Answers:**

None of the other choices gives the correct response.

**Correct answer:**

The *x*-intercept and* y*-intercept of the line of an equation can be found by substituting 0 for and , respectively, as follows:

*x*-intercept:

Substitute and simplify:

Solve for by dividing by 2 on both sides:

The *x*-intercept of the line is located at

The *y*-intercept can be found by setting and solving for in a similar fashion:

The *y*-intercept is located at .

The midpoint of a line segment, given its endpoints and , is located at

;

substituting accordingly,

The midpoint is located at .

### Example Question #2 : Properties Of Lines

What is the midpoint of the line segment created by the points and ?

**Possible Answers:**

**Correct answer:**

The midpoint of the line segment between two points

and

is given by the formula

.

Thus, since the line segment is generated by

and

applying the midpoint formula we have

as the midpoint.

### Example Question #3 : Properties Of Lines

What is the midpoint between and ?

**Possible Answers:**

**Correct answer:**

Step 1: Recall the midpoint Formula....

, where is the first point and is the second point

Step 2: Identify the points and their specific terms...

Step 3: Plug in the values into the midpoint formula...

Simplify...

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