Parallel Lines - Math
Card 0 of 80
What line is parallel to 
through the point 
?
What line is parallel to
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
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.
So the equation of the parallel line is
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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
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
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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
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Given the equation 
and the point 
, find a line through the point that is parallel to the given line.
Given the equation
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
where
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What line is parallel to 
through 
?
What line is parallel to
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
Therefore the new equation becomes:
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What line is parallel to 
through 
?
What line is parallel to
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
Solve for
Then the parallel line equation becomes
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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
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What is the slope of the line that runs through points 
and 
?
What is the slope of the line that runs through points
Use the slope formula (difference between 
's over difference between 
's) to find that the slope is 
.
Use the slope formula (difference between
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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,
In the given problem, the slope is
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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
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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
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
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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
The slope in the given equation is
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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
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
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A line that is parallel to 
will have what slope?
A line that is parallel to
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,
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What line is parallel to through the point ?
What line is parallel to
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
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.
So the equation of the parallel line is
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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
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
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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
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Given the equation and the point , find a line through the point that is parallel to the given line.
Given the equation
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
where
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What line is parallel to through ?
What line is parallel to
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
Therefore the new equation becomes:
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What line is parallel to through ?
What line is parallel to
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
Solve for
Then the parallel line equation becomes
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