Parallel Lines - Math
Card 0 of 80
What line is parallel to
through the point
?
What line is parallel to through the point
?
The given line can be rewritten as
, which has slope
.
If the new line is parallel to the old line, it must have the same slope. So we use the point-slope form of an equation to calculate the new intercept.
becomes
where
.
So the equation of the parallel line is
.
The given line can be rewritten as , which has slope
.
If the new line is parallel to the old line, it must have the same slope. So we use the point-slope form of an equation to calculate the new intercept.
becomes
where
.
So the equation of the parallel line is .
Compare your answer with the correct one above
Find the equation of a line parallel to the line that goes through points
and
.
Find the equation of a line parallel to the line that goes through points and
.
Parallel lines share the same slope. Because the slope of the original line is
, the correct answer must have that slope, so the correct answer is

Parallel lines share the same slope. Because the slope of the original line is , the correct answer must have that slope, so the correct answer is
Compare your answer with the correct one above
Find the equation of a line parallel to
.
Find the equation of a line parallel to .
Since parallel lines share the same slope, the only answer that works is 
Since parallel lines share the same slope, the only answer that works is
Compare your answer with the correct one above
Given the equation
and the point
, find a line through the point that is parallel to the given line.
Given the equation and the point
, find a line through the point that is parallel to the given line.
In order for two lines to be parallel, they must have the same slope. The slope of the given line is
, so we know that the line going through the given point also has to have a slope of
. Using the point-slope formula,
,
where
represents the slope and
and
represent the given points, plug in the points given and simplify into standard form:



In order for two lines to be parallel, they must have the same slope. The slope of the given line is , so we know that the line going through the given point also has to have a slope of
. Using the point-slope formula,
,
where represents the slope and
and
represent the given points, plug in the points given and simplify into standard form:
Compare your answer with the correct one above
What line is parallel to
through
?
What line is parallel to through
?
Parallel lines have the same slopes. The slope for the given equation is
. We can use the slope and the new point in the slope intercept equation to solve for the intercept:



Therefore the new equation becomes:

Parallel lines have the same slopes. The slope for the given equation is . We can use the slope and the new point in the slope intercept equation to solve for the intercept:
Therefore the new equation becomes:
Compare your answer with the correct one above
What line is parallel to
through
?
What line is parallel to through
?
Parallel lines have the same slope. The slope of the given line is
.
Find the line with slope
through the point
by plugging this informatuon into the slope intercept equation,
:
, which gives
.
Solve for
by subtracting
from both sides to get
.
Then the parallel line equation becomes
, and converting to standard form gives
.
Parallel lines have the same slope. The slope of the given line is .
Find the line with slope through the point
by plugging this informatuon into the slope intercept equation,
:
, which gives
.
Solve for by subtracting
from both sides to get
.
Then the parallel line equation becomes , and converting to standard form gives
.
Compare your answer with the correct one above
Which of the following equations are parallel to
?
Which of the following equations are parallel to ?
For one equation to be parallel to another, the only requirement is that they must have the same slope. In order to figure out which answer choice is parallel to the given equation, you must first find the slope of the equation:



From the simplified equation, you can see that the slope is
.
The answer choice that has the same slope is
.
For one equation to be parallel to another, the only requirement is that they must have the same slope. In order to figure out which answer choice is parallel to the given equation, you must first find the slope of the equation:
From the simplified equation, you can see that the slope is .
The answer choice that has the same slope is .
Compare your answer with the correct one above
What is the slope of the line that runs through points
and
?
What is the slope of the line that runs through points and
?
Use the slope formula (difference between
's over difference between
's) to find that the slope is
.
Use the slope formula (difference between 's over difference between
's) to find that the slope is
.
Compare your answer with the correct one above
Which of the following lines would be parallel to the line described by the equation?

Which of the following lines would be parallel to the line described by the equation?
The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form,
, you're looking at the
.

In the given problem, the slope is
. Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of
. Only one answer choice satisfies that requirement:
.
The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form, , you're looking at the
.
In the given problem, the slope is . Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of
. Only one answer choice satisfies that requirement:
.
Compare your answer with the correct one above
Which of the following lines would be parallel to
?
Which of the following lines would be parallel to ?
Two lines are parallel if they have the same slope. When looking at the standard line equation
, the important thing is that the
's are the same. In this case, the given equation has a slope of
. Only one answer choice also has a slope of
.
Two lines are parallel if they have the same slope. When looking at the standard line equation , the important thing is that the
's are the same. In this case, the given equation has a slope of
. Only one answer choice also has a slope of
.
Compare your answer with the correct one above
Which of the following is parallel to a line described by 
Which of the following is parallel to a line described by
The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the
variable.
The slope in the given equation is 4, so a parallel line would also have a slope of 4. The only answer with this slope is

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.
The slope in the given equation is 4, so a parallel line would also have a slope of 4. The only answer with this slope is
Compare your answer with the correct one above
Which of the following is parallel to the line described by

Which of the following is parallel to the line described by
The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the
variable.
The slope in the given equation is
, so a parallel line would also have a slope of
. The only answer with this slope is

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.
The slope in the given equation is , so a parallel line would also have a slope of
. The only answer with this slope is
Compare your answer with the correct one above
Which of the following is parallel to the line described by

Which of the following is parallel to the line described by
The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the
variable.
The slope in the given equation is 3, so a parallel line would also have a slope of 3. The only answer with this slope is

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.
The slope in the given equation is 3, so a parallel line would also have a slope of 3. The only answer with this slope is
Compare your answer with the correct one above
A line that is parallel to
will have what slope?
A line that is parallel to will have what slope?
Two lines that are parallel have the same slope. The line given above is in slope-intercept form,
, where
represents the slope. Thus, the slope is
. Therefore, any line that is parallel to this line will also have a slope of 
Two lines that are parallel have the same slope. The line given above is in slope-intercept form, , where
represents the slope. Thus, the slope is
. Therefore, any line that is parallel to this line will also have a slope of
Compare your answer with the correct one above
What line is parallel to
through the point
?
What line is parallel to through the point
?
The given line can be rewritten as
, which has slope
.
If the new line is parallel to the old line, it must have the same slope. So we use the point-slope form of an equation to calculate the new intercept.
becomes
where
.
So the equation of the parallel line is
.
The given line can be rewritten as , which has slope
.
If the new line is parallel to the old line, it must have the same slope. So we use the point-slope form of an equation to calculate the new intercept.
becomes
where
.
So the equation of the parallel line is .
Compare your answer with the correct one above
Find the equation of a line parallel to the line that goes through points
and
.
Find the equation of a line parallel to the line that goes through points and
.
Parallel lines share the same slope. Because the slope of the original line is
, the correct answer must have that slope, so the correct answer is

Parallel lines share the same slope. Because the slope of the original line is , the correct answer must have that slope, so the correct answer is
Compare your answer with the correct one above
Find the equation of a line parallel to
.
Find the equation of a line parallel to .
Since parallel lines share the same slope, the only answer that works is 
Since parallel lines share the same slope, the only answer that works is
Compare your answer with the correct one above
Given the equation
and the point
, find a line through the point that is parallel to the given line.
Given the equation and the point
, find a line through the point that is parallel to the given line.
In order for two lines to be parallel, they must have the same slope. The slope of the given line is
, so we know that the line going through the given point also has to have a slope of
. Using the point-slope formula,
,
where
represents the slope and
and
represent the given points, plug in the points given and simplify into standard form:



In order for two lines to be parallel, they must have the same slope. The slope of the given line is , so we know that the line going through the given point also has to have a slope of
. Using the point-slope formula,
,
where represents the slope and
and
represent the given points, plug in the points given and simplify into standard form:
Compare your answer with the correct one above
What line is parallel to
through
?
What line is parallel to through
?
Parallel lines have the same slopes. The slope for the given equation is
. We can use the slope and the new point in the slope intercept equation to solve for the intercept:



Therefore the new equation becomes:

Parallel lines have the same slopes. The slope for the given equation is . We can use the slope and the new point in the slope intercept equation to solve for the intercept:
Therefore the new equation becomes:
Compare your answer with the correct one above
What line is parallel to
through
?
What line is parallel to through
?
Parallel lines have the same slope. The slope of the given line is
.
Find the line with slope
through the point
by plugging this informatuon into the slope intercept equation,
:
, which gives
.
Solve for
by subtracting
from both sides to get
.
Then the parallel line equation becomes
, and converting to standard form gives
.
Parallel lines have the same slope. The slope of the given line is .
Find the line with slope through the point
by plugging this informatuon into the slope intercept equation,
:
, which gives
.
Solve for by subtracting
from both sides to get
.
Then the parallel line equation becomes , and converting to standard form gives
.
Compare your answer with the correct one above