# High School Math : How to find out if lines are parallel

## Example Questions

### Example Question #1 : How To Find Out If Lines Are Parallel

Which of these lines is parallel to ?

Explanation:

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 #41 : Coordinate Geometry

Which of the following lines is parallel to  ?

Explanation:

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 #42 : Coordinate Geometry

Which of these lines is parallel to ?

Explanation:

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 #1 : Parallel Lines

Which of the following lines will be parallel to ?

Explanation:

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?

Yes

No

It cannot be determined from the information given

No

Explanation:

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 ?