Algebra 1 : Equations of Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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 #501 : 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 #4033 : Algebra 1

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 #31 : 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 #32 : 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 #33 : 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 #34 : How To Find Out If Lines Are Parallel

Which of the following are parallel to the line ?

Possible Answers:

Correct answer:

Explanation:

Two lines are parallel when they have the same slope. We can determine the slope of a line in the form   by identifying , the coefficient of x.

In this case, a line will be parallel to  if and only if the coefficient of x is 3.

So we find:

 

Example Question #35 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

 

Possible Answers:

Correct answer:

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

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

In the given equation:

 

Only one of the choices has a slope of :

Example Question #36 : How To Find Out If Lines Are Parallel

Find the equation of a line parallel to:

Possible Answers:

Correct answer:

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

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

In the given equation:

 

Only one of the choices has a slope of :

Example Question #81 : Parallel Lines

Find the equation of a line parallel to:

Possible Answers:

Correct answer:

Explanation:

Lines that are parallel have the same slope. Lines can be written in the slope-intercept form:

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

In the given equation:

 

Only one of the choices has a slope of :

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