Algebra 1 : Parallel Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #141 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

Both lines have a slope of 6 which makes them parallel.

Example Question #142 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

Both lines have a slope of 2 which makes them parallel.

Example Question #143 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

Both lines have a slope of 1 which makes them parallel.

Example Question #144 : Parallel Lines

Determine if the two lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of -6, while the second has a slope of -7/2 meaning the lines are not parallel.

Example Question #141 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of -1/2, while the second has a slope of 1/2 meaning the lines are not parallel.

Example Question #146 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of 1/4, while the second has a slope of 1/3 meaning the lines are not parallel.

Example Question #147 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of 1, while the second has a slope of 2/3 meaning the lines are not parallel.

Example Question #148 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of -6, while the second has a slope of -5/2 meaning the lines are not parallel.

Example Question #149 : Parallel Lines

Determine if the lines are parallel and find their slopes:

Possible Answers:

Correct answer:

Explanation:

In order to determine if two lines have the same slope first write them according to slope-intercept form, where "m" is the slope of the line:

Do that for each line:

The first line has a slope of 3, while the second has a slope of -2 meaning the lines are not parallel.

Example Question #150 : Parallel Lines

Find the line that is parallel to the following:

Possible Answers:

Correct answer:

Explanation:

Two lines are parallel when they have the same slope.  We can compare slopes when we write the equation of the line in slope-intercept form

where m is the slope.  Given the original equation

we must write it in slope-intercept form to find the slope.  To do this, we will divide each term by 6.  We get

Therefore, the slope of the original line is -7.  A line that is parallel to this line needs to have a slope of -7.

 

Let's look at the equation of the line 

We must write it in slope-intercept form.  To do this, we will divide each term by -8.  We get

The slope of this line is -7.  Therefore, it is parallel to the original line.

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