Slope & Intercept - GRE Quantitative Reasoning
Card 0 of 68
What is the y-intercept of the equation
?
What is the y-intercept of the equation ?
Step 1: Recall what the basic equation is for a line in slope-intercept form..

m=slope, b=y-intercept...
Step 2: Find m and b in the equation given...
m=
, b=
..
b=y-intercept=
Step 1: Recall what the basic equation is for a line in slope-intercept form..
m=slope, b=y-intercept...
Step 2: Find m and b in the equation given...
m=, b=
..
b=y-intercept=
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What is the slope and y-intercept of this line:
?
What is the slope and y-intercept of this line: ?
Step 1: Move the y-term to the other side. We will add 4y.


Step 2: Move the constant to the other side. We will subtract 12.


Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4.


Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.
In this question, the slope is
and the y-intercept is
.
Step 1: Move the y-term to the other side. We will add 4y.
Step 2: Move the constant to the other side. We will subtract 12.
Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4.
Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.
In this question, the slope is and the y-intercept is
.
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Find the slope of a line that passes through
and 
Find the slope of a line that passes through and
The formula for slope is:





The formula for slope is:
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Find the slope of a line that passes through the points
and
.
Find the slope of a line that passes through the points and
.
The formula for slope is:




The formula for slope is:
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Find the slope of a line that passes through points
and
.
Find the slope of a line that passes through points and
.
The formula for slope is:




When the y coordinates are the same, as in this case both were -1, this would form a horizontal line. The slope of a horizontal line is zero.
The formula for slope is:
When the y coordinates are the same, as in this case both were -1, this would form a horizontal line. The slope of a horizontal line is zero.
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Find the slope of a line that passes through points
and 
Find the slope of a line that passes through points and
The formula for slope is:



Slope is undefined.
If the x coordinates are the same, as in this problem both x coordinates are 4, then this will be a vertical line. The slope of a vertical line is undefined.
The formula for slope is:
Slope is undefined.
If the x coordinates are the same, as in this problem both x coordinates are 4, then this will be a vertical line. The slope of a vertical line is undefined.
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Find the slope of a line that passes through the points
and
.
Find the slope of a line that passes through the points and
.
The formula for slope is:





The formula for slope is:
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Find the slope of a line that passes through points
and 
Find the slope of a line that passes through points and
The formula for slope is:



The formula for slope is:
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What is the slope and y-intercept of the following equation?

What is the slope and y-intercept of the following equation?

Subtract
from both sides of the equation.

Write equation in the form of
.


(
represents the y-intercept)
Subtract from both sides of the equation.
Write equation in the form of .
(
represents the y-intercept)
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What is the slope (
) and the y-intercept
of the equation

What is the slope () and the y-intercept
of the equation
The formula to find slope and y-intercept is:


and 
The formula to find slope and y-intercept is:
and
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What is the slope
and the y-intercept
of the equation

What is the slope and the y-intercept
of the equation
The formula to find slope and y-intercept is:


Combine like terms.

and 
The formula to find slope and y-intercept is:
Combine like terms.
and
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The points given lie on a line. Find the slope.


The points given lie on a line. Find the slope.
slope = 
rise = changes in y
run = changes in x


The change in the
coordinates is that the numbers are decreasing by 3 or -3.
The change in the
coordinates is that the numbers are increasing by 2 or +2;
slope = 
slope =
rise = changes in y
run = changes in x
The change in the coordinates is that the numbers are decreasing by 3 or -3.
The change in the coordinates is that the numbers are increasing by 2 or +2;
slope =
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The points given lie on a line. Find the slope.


The points given lie on a line. Find the slope.
slope = 
rise = changes in y
run = changes in x


The change in the
coordinates is that the numbers are increasing by 3 or +3.
The change in the
coordinates is that the numbers are increasing by 4 or +4.
slope = 
slope =
rise = changes in y
run = changes in x
The change in the coordinates is that the numbers are increasing by 3 or +3.
The change in the coordinates is that the numbers are increasing by 4 or +4.
slope =
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The points given lie on a line. Find the slope.


The points given lie on a line. Find the slope.
slope = 
rise = changes in y
run = changes in x


There is zero change in the
coordinates.
The change in the
coordinates is that the numbers are increasing by 2 or +2.
slope = 

If the
coordinates are the same, then it will be a horizontal line. The slope of a horizontal line is 0.
slope =
rise = changes in y
run = changes in x
There is zero change in the coordinates.
The change in the coordinates is that the numbers are increasing by 2 or +2.
slope =
If the coordinates are the same, then it will be a horizontal line. The slope of a horizontal line is 0.
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What is the slope of the line:
What is the slope of the line:
Step 1: The current equation is in standard form, where x and y are both on one side of the equal sign..
Step 2: Change the equation to slope-intercept form.. Move the y to the other side

Step 3: Move the constant to the other side:

Step 4: Divide by the coefficient in front of
:

Step 5: Split the left side into two fractions and simplify:


Step 6. Locate the slope. The slope is the coefficient of the x term.
The slope is
, or 
Step 1: The current equation is in standard form, where x and y are both on one side of the equal sign..
Step 2: Change the equation to slope-intercept form.. Move the y to the other side
Step 3: Move the constant to the other side:
Step 4: Divide by the coefficient in front of :
Step 5: Split the left side into two fractions and simplify:
Step 6. Locate the slope. The slope is the coefficient of the x term.
The slope is , or
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Find the y-intercept of the equation of a line: 
Find the y-intercept of the equation of a line:
Step 1: Subtract
from both sides:

Step 2: Divide by the coefficient of the y term..In this case, divide by
.

Simplify and separate fraction on right side:

Step 3: Locate the y-intercept (also known as b):
If we compare our equation to the general slope-intercept form:
, we see that
..
The value of
is
.
Step 1: Subtract from both sides:
Step 2: Divide by the coefficient of the y term..In this case, divide by .
Simplify and separate fraction on right side:
Step 3: Locate the y-intercept (also known as b):
If we compare our equation to the general slope-intercept form: , we see that
..
The value of is
.
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What is the slope of the line: 
What is the slope of the line:
Step 1: Move the
to the other side...

Step 2: Divide by
on both sides...

The slope is
.
Step 1: Move the to the other side...
Step 2: Divide by on both sides...
The slope is .
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What is the y-intercept of the equation
?
What is the y-intercept of the equation ?
Step 1: Recall what the basic equation is for a line in slope-intercept form..

m=slope, b=y-intercept...
Step 2: Find m and b in the equation given...
m=
, b=
..
b=y-intercept=
Step 1: Recall what the basic equation is for a line in slope-intercept form..
m=slope, b=y-intercept...
Step 2: Find m and b in the equation given...
m=, b=
..
b=y-intercept=
Compare your answer with the correct one above
What is the slope and y-intercept of this line:
?
What is the slope and y-intercept of this line: ?
Step 1: Move the y-term to the other side. We will add 4y.


Step 2: Move the constant to the other side. We will subtract 12.


Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4.


Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.
In this question, the slope is
and the y-intercept is
.
Step 1: Move the y-term to the other side. We will add 4y.
Step 2: Move the constant to the other side. We will subtract 12.
Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4.
Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.
In this question, the slope is and the y-intercept is
.
Compare your answer with the correct one above
Find the slope of a line that passes through
and 
Find the slope of a line that passes through and
The formula for slope is:





The formula for slope is:
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