Parallel Lines - GMAT Quantitative
Card 1 of 152
Find the equation of a line that is parallel to 
and passes through the point 
.
Find the equation of a line that is parallel to
Tap to reveal answer
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
← Didn't Know|Knew It →
What is the equation of the line that is parallel to 
and goes through point 
?
What is the equation of the line that is parallel to
Tap to reveal answer
Parallel lines have the same slope. Therefore, the slope of the new line is 
, as the equation of the original line is 
,with slope 
.
and 
:
Parallel lines have the same slope. Therefore, the slope of the new line is
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Given:
Which of the following is the equation of a line parallel to 
that has a y-intercept of 
?
Given:
Which of the following is the equation of a line parallel to
Tap to reveal answer
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
← Didn't Know|Knew It →
Find the equation of the line that is parallel to the 
and passes through the point 
.
Find the equation of the line that is parallel to the
Tap to reveal answer
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is 
.
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
← Didn't Know|Knew It →
Given the function 
, which of the following is the equation of a line parallel to 
and has a 
-intercept of 
?
Given the function
Tap to reveal answer
Given a line 
defined by the equation 
with slope 
, any line that is parallel to 
also has a slope of 
. Since 
, the slope 
is 
and the slope of any line 
parallel to 
also has a slope of 
.
Since 
also needs to have a 
-intercept of 
, then the equation for 
must be 
.
Given a line
Since
← Didn't Know|Knew It →
Given the function 
, which of the following is the equation of a line parallel to 
and has a 
-intercept of 
?
Given the function
Tap to reveal answer
Given a line 
defined by the equation 
with slope 
, any line that is parallel to 
also has a slope of 
. Since 
, the slope 
is 
and the slope of any line 
parallel to 
also has a slope of 
.
Since 
also needs to have a 
-intercept of 
, then the equation for 
must be 
.
Given a line
Since
← Didn't Know|Knew It →
Given the function 
, which of the following is the equation of a line parallel to 
and has a 
-intercept of 
?
Given the function
Tap to reveal answer
Given a line 
defined by the equation 
with slope 
, any line that is parallel to 
also has a slope of 
. Since 
, the slope 
is 
and the slope of any line 
parallel to 
also has a slope of 
.
Since 
also needs to have a 
-intercept of 
, then the equation for 
must be 
.
Given a line
Since
← Didn't Know|Knew It →
What is the equation of the line that is parallel to and goes through point ?
What is the equation of the line that is parallel to
Tap to reveal answer
Parallel lines have the same slope. Therefore, the slope of the new line is , as the equation of the original line is ,with slope .
and :
Parallel lines have the same slope. Therefore, the slope of the new line is
← Didn't Know|Knew It →
Find the equation of a line that is parallel to and passes through the point .
Find the equation of a line that is parallel to
Tap to reveal answer
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
← Didn't Know|Knew It →
Given:
Which of the following is the equation of a line parallel to that has a y-intercept of ?
Given:
Which of the following is the equation of a line parallel to
Tap to reveal answer
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
← Didn't Know|Knew It →
Find the equation of the line that is parallel to the and passes through the point .
Find the equation of the line that is parallel to the
Tap to reveal answer
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is .
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
← Didn't Know|Knew It →
Given the function , which of the following is the equation of a line parallel to and has a -intercept of ?
Given the function
Tap to reveal answer
Given a line defined by the equation with slope , any line that is parallel to also has a slope of . Since , the slope is and the slope of any line parallel to also has a slope of .
Since also needs to have a -intercept of , then the equation for must be .
Given a line
Since
← Didn't Know|Knew It →
Given the function , which of the following is the equation of a line parallel to and has a -intercept of ?
Given the function
Tap to reveal answer
Given a line defined by the equation with slope , any line that is parallel to also has a slope of . Since , the slope is and the slope of any line parallel to also has a slope of .
Since also needs to have a -intercept of , then the equation for must be .
Given a line
Since
← Didn't Know|Knew It →
Given the function , which of the following is the equation of a line parallel to and has a -intercept of ?
Given the function
Tap to reveal answer
Given a line defined by the equation with slope , any line that is parallel to also has a slope of . Since , the slope is and the slope of any line parallel to also has a slope of .
Since also needs to have a -intercept of , then the equation for must be .
Given a line
Since
← Didn't Know|Knew It →
What is the equation of the line that is parallel to and goes through point ?
What is the equation of the line that is parallel to
Tap to reveal answer
Parallel lines have the same slope. Therefore, the slope of the new line is , as the equation of the original line is ,with slope .
and :
Parallel lines have the same slope. Therefore, the slope of the new line is
← Didn't Know|Knew It →
Find the equation of a line that is parallel to and passes through the point .
Find the equation of a line that is parallel to
Tap to reveal answer
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
The parallel line has the equation 4x-2y=5. We can find the slope by putting the equation into slope-intercept form, y = mx + b, where m is the slope and b is the intercept. 4x-2y=5 becomes y=2x-$\frac{5}{2}$, so the slope is 2.
We know that our line must have an equation that looks like y=2x+b. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) + b
b = –7
Then the line in question is y=2x-7.
← Didn't Know|Knew It →
Given:
Which of the following is the equation of a line parallel to that has a y-intercept of ?
Given:
Which of the following is the equation of a line parallel to
Tap to reveal answer
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
← Didn't Know|Knew It →
Find the equation of the line that is parallel to the and passes through the point .
Find the equation of the line that is parallel to the
Tap to reveal answer
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is .
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
← Didn't Know|Knew It →
Given the function , which of the following is the equation of a line parallel to and has a -intercept of ?
Given the function
Tap to reveal answer
Given a line defined by the equation with slope , any line that is parallel to also has a slope of . Since , the slope is and the slope of any line parallel to also has a slope of .
Since also needs to have a -intercept of , then the equation for must be .
Given a line
Since
← Didn't Know|Knew It →
Given the function , which of the following is the equation of a line parallel to and has a -intercept of ?
Given the function
Tap to reveal answer
Given a line defined by the equation with slope , any line that is parallel to also has a slope of . Since , the slope is and the slope of any line parallel to also has a slope of .
Since also needs to have a -intercept of , then the equation for must be .
Given a line
Since
← Didn't Know|Knew It →