Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #82 : How To Find Out If Lines Are Parallel

Which of the following lines is parallel to

Possible Answers:

Correct answer:

Explanation:

When comparing two lines to see if they are parallel, they must have the same slope.  To find the slope of a line, we write it in slope-intercept form

where m is the slope.  

The original equation

will need to be written in slope-intercept form.  To do that, we will divide each term by 4

Therefore, the slope of the original line is .  A line that is parallel to this line will also have a slope of .

 

Therefore, the line

is parallel to the original line.

Example Question #137 : Parallel Lines

Which of the following lines is parallel to

Possible Answers:

Correct answer:

Explanation:

If two lines are parallel, then they have the same slope.  To find the slope of a line, we write it in slope-intercept form

where m is the slope.  So given the equation

we must solve for y.  To do that, we will divide each term by 5.  We get

We can see the slope of this line is -3.  Therefore, this line is parallel to the line 

because it also has a slope of -3.

Example Question #138 : 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 4, while the second has a slope of 2 meaning the lines are not parallel.

Example Question #91 : How To Find Out If Lines Are Parallel

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 #92 : How To Find Out If Lines Are Parallel

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 #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 #91 : How To Find Out If Lines Are Parallel

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 #92 : How To Find Out If Lines Are Parallel

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.

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