Algebra 1 : How to find out if lines are parallel

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #63 : Parallel Lines

Which set of equations represents parallel lines?

Possible Answers:

Correct answer:

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 #491 : Equations Of Lines

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

 

Possible Answers:

Correct answer:

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 #21 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #22 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #23 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #24 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #25 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #26 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #27 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 #28 : How To Find Out If Lines Are Parallel

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

Possible Answers:

Correct answer:

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 .

 

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