### 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 #2 : 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:**

Yes

It cannot be determined from the information given

No

**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 #2 : 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 .

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