How to find the equation of a parallel line - High School Math
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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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