Algebra 1 : Equations of Lines
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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
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 #92 : 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 #141 : 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:
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:
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:
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:
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:
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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