### All High School Math Resources

## Example Questions

### Example Question #1 : Parallel Lines

Which of these lines is parallel to ?

**Possible Answers:**

**Correct answer:**

Lines are parallel if they have the same slope. In standard form, is the slope.

For our given equation, the slope is . Only has the same slope.

### Example Question #2 : Parallel Lines

Which of the following lines is parallel to ?

**Possible Answers:**

**Correct answer:**

Two lines that are parallel have the same slope. The slope of is , so we want another line with a slope of . The only other line with a slope of is .

### Example Question #3 : Parallel Lines

Which of these lines is parallel to ?

**Possible Answers:**

**Correct answer:**

Lines are parallel if they have the same slope. In standard form, is the slope.

For our given equation, the slope is . Only has the same slope.

### Example Question #4 : Parallel Lines

Which of the following lines will be parallel to ?

**Possible Answers:**

**Correct answer:**

Two lines are parallel if they have the same slope. When a line is in standard form, the is the slope.

For the given line , the slope will be . Only one other line has a slope of :

### Example Question #1 : Parallel Lines

Are the following lines parallel?

**Possible Answers:**

It cannot be determined from the information given

No

Yes

**Correct answer:**

No

By definition, two lines are parallel if they have the same slope. Notice that since we are given the lines in the format, and our slope is given by , it is clear that the slopes are not the same in this case, and thus the lines are not parallel.

### Example Question #1 : Parallel Lines

Which of the following lines is parallel to the line ?

**Possible Answers:**

**Correct answer:**

Parallel lines have the same slope. In slope-intercept form, , is the slope.

Here the slope is ; thus, any line that is parallel to the line in question will also have a slope of .

Only one answer choice satisfies this requirement:

Note: the answer choice is incorrect. If put into form, the equation becomes . Therefore the slope is actually , not .

### Example Question #7 : Parallel Lines

Which of the following lines would be parallel to the line described by the equation?

**Possible Answers:**

**Correct answer:**

The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form, , you're looking at the .

In the given problem, the slope is . Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of . Only one answer choice satisfies that requirement:

.

### Example Question #8 : Parallel Lines

Which of the following lines would be parallel to ?

**Possible Answers:**

**Correct answer:**

Two lines are parallel if they have the same slope. When looking at the standard line equation , the important thing is that the 's are the same. In this case, the given equation has a slope of . Only one answer choice also has a slope of .

### Example Question #9 : Parallel Lines

What is the slope of the line that runs through points and ?

**Possible Answers:**

**Correct answer:**

Use the slope formula (difference between 's over difference between 's) to find that the slope is .

### Example Question #10 : Parallel Lines

A line that is parallel to will have what slope?

**Possible Answers:**

**Correct answer:**

Two lines that are parallel have the same slope. The line given above is in slope-intercept form, , where represents the slope. Thus, the slope is . Therefore, any line that is parallel to this line will also have a slope of