Finding Equations of Lines - GRE Quantitative Reasoning
Card 0 of 28
What is the equation of the line (in slope-intercept form) that goes through the points:
and
?
What is the equation of the line (in slope-intercept form) that goes through the points: and
?
Step 1: Find the slope between the two points:

Step 2: Write the slope-intercept form:

Step 3. Find b. Plug in (x,y) from one of the points:





Step 4: Write out the full equation:

Step 1: Find the slope between the two points:
Step 2: Write the slope-intercept form:
Step 3. Find b. Plug in (x,y) from one of the points:
Step 4: Write out the full equation:
Compare your answer with the correct one above
What is the equation of a line that passes through points
and
in slope-intercept form?
What is the equation of a line that passes through points and
in slope-intercept form?
To find the equation of the line, first find the slope using the formula:

The points that the line passes through are
and
.



Then pick one set of points and place in the form
. Either set of points will give you the same equation. Points
were used.


Subtract
from both sides of the equation.


The equation of the line in slope-intercept form or
is

To find the equation of the line, first find the slope using the formula:
The points that the line passes through are and
.
Then pick one set of points and place in the form . Either set of points will give you the same equation. Points
were used.
Subtract from both sides of the equation.
The equation of the line in slope-intercept form or is
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes through points
and has a slope of 
Find the equation of a line in slope-intercept form that passes through points and has a slope of
To find the equation of a line given points
and
use the point- slope formula:



Distribute the
to what is inside the parenthesis.



Subtract
from both sides of the equation.

When the sign is the same for both integers, add.
The equation of the line in slope-intercept form
is:

To find the equation of a line given points and
use the point- slope formula:
Distribute the to what is inside the parenthesis.
Subtract from both sides of the equation.
When the sign is the same for both integers, add.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes though points
and
.
Find the equation of a line in slope-intercept form that passes though points and
.
To find the equation of a line that passes through
and
, first find the slope using this formula:



Using one set of points or coordinates and the value of slope, plug these values into:

Either set of points will give you the same equation of the line.
Coordinates
.


Distribute the
to what is inside the parenthesis.



Add
to both sides of the equation.

The equation of the line in slope-intercept form
is:

To find the equation of a line that passes through and
, first find the slope using this formula:
Using one set of points or coordinates and the value of slope, plug these values into:
Either set of points will give you the same equation of the line.
Coordinates .
Distribute the to what is inside the parenthesis.
Add to both sides of the equation.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
A line has a slope of
and goes through point
What is the equation of the line in slope-intercept form?
A line has a slope of and goes through point
What is the equation of the line in slope-intercept form?
The slope-intercept form is
, where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when 
The slope or
has been given as
.
The points that this equation of the line passes through are
and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form
is:

The slope-intercept form is , where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when
The slope or has been given as
.
The points that this equation of the line passes through are and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of the line with points 
Find the equation of the line with points

To solve for
you must use the equation 


To solve for be we must plug in one of the points

simplify

Add
to both sides


To solve for you must use the equation
To solve for be we must plug in one of the points
simplify
Add to both sides
Compare your answer with the correct one above
Find a line through the point
perpendicular to the line
.
Find a line through the point perpendicular to the line
.
To solve this problem you must first find the slope of the original equation by point it into y-mx+b form

subtract x from both sides

Then you must find the reciprocal of the slope to get the slope of the perpendicular line
reciprocal is 
Finally you must you point-slope form to solve


Multiply
through the parentheses

add three to both sides

To solve this problem you must first find the slope of the original equation by point it into y-mx+b form
subtract x from both sides
Then you must find the reciprocal of the slope to get the slope of the perpendicular line
reciprocal is
Finally you must you point-slope form to solve
Multiply through the parentheses
add three to both sides
Compare your answer with the correct one above
What is the equation of the line (in slope-intercept form) that goes through the points:
and
?
What is the equation of the line (in slope-intercept form) that goes through the points: and
?
Step 1: Find the slope between the two points:

Step 2: Write the slope-intercept form:

Step 3. Find b. Plug in (x,y) from one of the points:





Step 4: Write out the full equation:

Step 1: Find the slope between the two points:
Step 2: Write the slope-intercept form:
Step 3. Find b. Plug in (x,y) from one of the points:
Step 4: Write out the full equation:
Compare your answer with the correct one above
What is the equation of a line that passes through points
and
in slope-intercept form?
What is the equation of a line that passes through points and
in slope-intercept form?
To find the equation of the line, first find the slope using the formula:

The points that the line passes through are
and
.



Then pick one set of points and place in the form
. Either set of points will give you the same equation. Points
were used.


Subtract
from both sides of the equation.


The equation of the line in slope-intercept form or
is

To find the equation of the line, first find the slope using the formula:
The points that the line passes through are and
.
Then pick one set of points and place in the form . Either set of points will give you the same equation. Points
were used.
Subtract from both sides of the equation.
The equation of the line in slope-intercept form or is
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes through points
and has a slope of 
Find the equation of a line in slope-intercept form that passes through points and has a slope of
To find the equation of a line given points
and
use the point- slope formula:



Distribute the
to what is inside the parenthesis.



Subtract
from both sides of the equation.

When the sign is the same for both integers, add.
The equation of the line in slope-intercept form
is:

To find the equation of a line given points and
use the point- slope formula:
Distribute the to what is inside the parenthesis.
Subtract from both sides of the equation.
When the sign is the same for both integers, add.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes though points
and
.
Find the equation of a line in slope-intercept form that passes though points and
.
To find the equation of a line that passes through
and
, first find the slope using this formula:



Using one set of points or coordinates and the value of slope, plug these values into:

Either set of points will give you the same equation of the line.
Coordinates
.


Distribute the
to what is inside the parenthesis.



Add
to both sides of the equation.

The equation of the line in slope-intercept form
is:

To find the equation of a line that passes through and
, first find the slope using this formula:
Using one set of points or coordinates and the value of slope, plug these values into:
Either set of points will give you the same equation of the line.
Coordinates .
Distribute the to what is inside the parenthesis.
Add to both sides of the equation.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
A line has a slope of
and goes through point
What is the equation of the line in slope-intercept form?
A line has a slope of and goes through point
What is the equation of the line in slope-intercept form?
The slope-intercept form is
, where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when 
The slope or
has been given as
.
The points that this equation of the line passes through are
and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form
is:

The slope-intercept form is , where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when
The slope or has been given as
.
The points that this equation of the line passes through are and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of the line with points 
Find the equation of the line with points

To solve for
you must use the equation 


To solve for be we must plug in one of the points

simplify

Add
to both sides


To solve for you must use the equation
To solve for be we must plug in one of the points
simplify
Add to both sides
Compare your answer with the correct one above
Find a line through the point
perpendicular to the line
.
Find a line through the point perpendicular to the line
.
To solve this problem you must first find the slope of the original equation by point it into y-mx+b form

subtract x from both sides

Then you must find the reciprocal of the slope to get the slope of the perpendicular line
reciprocal is 
Finally you must you point-slope form to solve


Multiply
through the parentheses

add three to both sides

To solve this problem you must first find the slope of the original equation by point it into y-mx+b form
subtract x from both sides
Then you must find the reciprocal of the slope to get the slope of the perpendicular line
reciprocal is
Finally you must you point-slope form to solve
Multiply through the parentheses
add three to both sides
Compare your answer with the correct one above
What is the equation of the line (in slope-intercept form) that goes through the points:
and
?
What is the equation of the line (in slope-intercept form) that goes through the points: and
?
Step 1: Find the slope between the two points:

Step 2: Write the slope-intercept form:

Step 3. Find b. Plug in (x,y) from one of the points:





Step 4: Write out the full equation:

Step 1: Find the slope between the two points:
Step 2: Write the slope-intercept form:
Step 3. Find b. Plug in (x,y) from one of the points:
Step 4: Write out the full equation:
Compare your answer with the correct one above
What is the equation of a line that passes through points
and
in slope-intercept form?
What is the equation of a line that passes through points and
in slope-intercept form?
To find the equation of the line, first find the slope using the formula:

The points that the line passes through are
and
.



Then pick one set of points and place in the form
. Either set of points will give you the same equation. Points
were used.


Subtract
from both sides of the equation.


The equation of the line in slope-intercept form or
is

To find the equation of the line, first find the slope using the formula:
The points that the line passes through are and
.
Then pick one set of points and place in the form . Either set of points will give you the same equation. Points
were used.
Subtract from both sides of the equation.
The equation of the line in slope-intercept form or is
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes through points
and has a slope of 
Find the equation of a line in slope-intercept form that passes through points and has a slope of
To find the equation of a line given points
and
use the point- slope formula:



Distribute the
to what is inside the parenthesis.



Subtract
from both sides of the equation.

When the sign is the same for both integers, add.
The equation of the line in slope-intercept form
is:

To find the equation of a line given points and
use the point- slope formula:
Distribute the to what is inside the parenthesis.
Subtract from both sides of the equation.
When the sign is the same for both integers, add.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of a line in slope-intercept form that passes though points
and
.
Find the equation of a line in slope-intercept form that passes though points and
.
To find the equation of a line that passes through
and
, first find the slope using this formula:



Using one set of points or coordinates and the value of slope, plug these values into:

Either set of points will give you the same equation of the line.
Coordinates
.


Distribute the
to what is inside the parenthesis.



Add
to both sides of the equation.

The equation of the line in slope-intercept form
is:

To find the equation of a line that passes through and
, first find the slope using this formula:
Using one set of points or coordinates and the value of slope, plug these values into:
Either set of points will give you the same equation of the line.
Coordinates .
Distribute the to what is inside the parenthesis.
Add to both sides of the equation.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
A line has a slope of
and goes through point
What is the equation of the line in slope-intercept form?
A line has a slope of and goes through point
What is the equation of the line in slope-intercept form?
The slope-intercept form is
, where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when 
The slope or
has been given as
.
The points that this equation of the line passes through are
and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form
is:

The slope-intercept form is , where
represents the slope,
and
represent the points, and
is the y-intercept or the value of
when
The slope or has been given as
.
The points that this equation of the line passes through are and
because based on the points, when
That is the y-intercept.
The equation of the line in slope-intercept form is:
Compare your answer with the correct one above
Find the equation of the line with points 
Find the equation of the line with points

To solve for
you must use the equation 


To solve for be we must plug in one of the points

simplify

Add
to both sides


To solve for you must use the equation
To solve for be we must plug in one of the points
simplify
Add to both sides
Compare your answer with the correct one above