Algebra 1 : Parallel Lines
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #131 : Parallel Lines
Which of the following lines are parallel to
By definition, lines are parallel if they have the same slope. Given that the reference equation provided is in the 
Example Question #551 : Equations Of Lines
Are the following lines parallel?
Not enough information
Don't know
No
Yes
Yes
Parrallel lines, by definition have the same slope, or 
You must get the second equation into 
Which simplifies to
because the first and second equation have the same slope, they are parrallel.
Example Question #132 : Parallel Lines
Which line is parallel to the following line:
Two lines are parellel if they have the same slope. If we look at an equation of a line in slope-intercept form
we know that m equals the slope. So, in the equation
the slope of the line is 4. So, the answer must also have a slope of 4. If we look at
we must write it in slope-intercept form. To do that, we must get y by itself. We must divide each term by 4. We get
The slope of this line is 4. Therefore, it is parallel to the original line.
Example Question #133 : Parallel Lines
Which of the following lines is parallel to 
Which of the following lines is parallel to h(t)?
Parallel lines have equal slope. In h(t), our slope is 14, so we need the other choice with a slope of 14.
Only one other option has a slope of 14, and that is:
Don't be fooled by lines with the same y-intercept. Slope is all that matters here!
Example Question #134 : Parallel Lines
Choose the parallel lines.
None of these.
Parallel lines have the same slope. If they didn't, the lines would eventually intersect and certainly would not be parallel. The slope is m in y=mx+b form. Since all of these lines are in slope intercept form just select the two that have the same slope.
Example Question #82 : How To Find Out If Lines Are Parallel
Which of the following lines is parallel to
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 
Therefore, the line
is parallel to the original line.
Example Question #137 : Parallel Lines
Which of the following lines is parallel to
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:
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:
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 #802 : Functions And Lines
Determine if the lines are parallel and find their slopes:
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.
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