# Algebra 1 : How to find out if lines are parallel

## Example Questions

### Example Question #61 : Parallel Lines

Which set of equations represents parallel lines?

Explanation:

Parallel lines are lines that never intersect. This is a result of having the same slope, creating equal distance between points on the two lines.

The student would run through the sets of equations putting them into form to isolate , the variable representing the slope of the line.

The only set of equations with the same slope is

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### Example Question #62 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #71 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #72 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #71 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #74 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #75 : Parallel Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #501 : Equations Of Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #502 : Equations Of Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .

### Example Question #503 : Equations Of Lines

Which of the following lines is parallel to a line with the equation:

Explanation:

For two lines to be parallel, they must have the same slope.

Lines can be written in the slope-intercept form:

In this equation,  equals the slope and  represents the y-intercept.

The slope of the given line is:

There is only one line with a slope of .