Slope - SAT Math
Card 0 of 68
What is the slope of the line depicted by this equation?

What is the slope of the line depicted by this equation?
This equation is written in standard form, that is,
where the slope is equal to
.

In this instance
and 

This question can also be solved by converting the slope-intercept form:
.
This equation is written in standard form, that is, where the slope is equal to
.
In this instance and
This question can also be solved by converting the slope-intercept form: .
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Find the slope of the line

Find the slope of the line
To find the slope of any line, we must get the equation into the form

where m is the slope and b is the y-intercept.
To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.


To isolate y, we now must divide each side by 3.


Now our equation is in the desired form. The coefficient of our x term is our slope,
. Therefore

To find the slope of any line, we must get the equation into the form
where m is the slope and b is the y-intercept.
To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.
To isolate y, we now must divide each side by 3.
Now our equation is in the desired form. The coefficient of our x term is our slope, . Therefore
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What is the slope of the function above?
What is the slope of the function above?
First you must get the formula into slope-intercept form which means having
by itself,
where
is the slope.
You must multiple both sides by
to get,
.
The slope is the value being multiplied by the
variable, so our slope is
.
First you must get the formula into slope-intercept form which means having by itself,
where
is the slope.
You must multiple both sides by to get,
.
The slope is the value being multiplied by the variable, so our slope is
.
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Find the slope of the following equation: 
Find the slope of the following equation:
In order to find the slope, we will need to rearrange the equation so that it is in slope-intercept form
.
Subtract
on both sides.


Divide by three on both sides.


This equation is now in the form of
, where
is the slope.
The slope is
.
In order to find the slope, we will need to rearrange the equation so that it is in slope-intercept form .
Subtract on both sides.
Divide by three on both sides.
This equation is now in the form of , where
is the slope.
The slope is .
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What is the slope of the following equation? 
What is the slope of the following equation?
The given equation will need to be rewritten in slope intercept format.

Divide by two on both sides.

Rearrange the right side by order of powers.

The slope can be seen as 
The answer is: 
The given equation will need to be rewritten in slope intercept format.
Divide by two on both sides.
Rearrange the right side by order of powers.
The slope can be seen as
The answer is:
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What is the slope of the given equation? 
What is the slope of the given equation?
The slope in a linear equation is defined as
.
The x-variable exists in the denominator, which refers to the parent function of:

This function is not linear, and will have changing slope along its domain.
The answer is: 
The slope in a linear equation is defined as .
The x-variable exists in the denominator, which refers to the parent function of:
This function is not linear, and will have changing slope along its domain.
The answer is:
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What is the slopeof the line between the points (-1,0) and (3,5)?
What is the slopeof the line between the points (-1,0) and (3,5)?
For this problem we will need to use the slope equation:

In our case
and 
Therefore, our slope equation would read:

For this problem we will need to use the slope equation:
In our case and
Therefore, our slope equation would read:
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What is the slope of the function

What is the slope of the function
To find the slope of this function we first need to get it into slope-intercept form
where 
To do this we need to divide the function by 3:


From here we can see our m, which is our slope equals 2
To find the slope of this function we first need to get it into slope-intercept form
where
To do this we need to divide the function by 3:
From here we can see our m, which is our slope equals 2
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What is the slope for the line having the following points: (1, 5), (2, 8), and (3, 11)?
What is the slope for the line having the following points: (1, 5), (2, 8), and (3, 11)?
To find the slope for the line that has these points we will use the slope formula with two of the points.
In our case
and 
Now we can use the slope formula:

To find the slope for the line that has these points we will use the slope formula with two of the points.
In our case and
Now we can use the slope formula:
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What is the slope of the function:

What is the slope of the function:
For this question we need to get the function into slope intercept form first which is
where the m equals our slope.
In our case we need to do algebraic opperations to get it into the desired form




Therefore our slope is 4
For this question we need to get the function into slope intercept form first which is
where the m equals our slope.
In our case we need to do algebraic opperations to get it into the desired form
Therefore our slope is 4
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Find the slope of the following equation:

Find the slope of the following equation:
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
First subtract 2x from both sides:


That gives us the following:

Divide all three terms by three to get "y" by itself:

This means our "m" is -2/3
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
First subtract 2x from both sides:
That gives us the following:
Divide all three terms by three to get "y" by itself:
This means our "m" is -2/3
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Find the slope of the following equation:

Find the slope of the following equation:
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
First add x to both sides:


That gives us the following:

Divide all three terms by four to get "y" by itself:

This means our "m" is 1/4
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
First add x to both sides:
That gives us the following:
Divide all three terms by four to get "y" by itself:
This means our "m" is 1/4
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Find the slope of the following equation:

Find the slope of the following equation:
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

Our equation is already in the "y=mx+b" format, so our "m" is 6.
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
Our equation is already in the "y=mx+b" format, so our "m" is 6.
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Find the slope of the following equation:

Find the slope of the following equation:
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:

So our "m" in this case is -2.
To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:
To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:
So our "m" in this case is -2.
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Find the slope given the equation: 
Find the slope given the equation:
Subtract
on both sides.

Simplify both sides.

Divide by negative 6 on both sides.


The slope is: 
Subtract on both sides.
Simplify both sides.
Divide by negative 6 on both sides.
The slope is:
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Find the slope of the equation: 
Find the slope of the equation:
To determine the slope, we need the equation in slope intercept form.

Multiply by four on both sides to eliminate the fraction.


Add
on both sides.

Combine like-terms.

Divide by nine on both sides.


The value of
, or the slope, is
.
To determine the slope, we need the equation in slope intercept form.
Multiply by four on both sides to eliminate the fraction.
Add on both sides.
Combine like-terms.
Divide by nine on both sides.
The value of , or the slope, is
.
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Given the points
and
, what is the slope?
Given the points and
, what is the slope?
Write the slope equation.

Substitute the points and solve for the slope.

The answer is: 
Write the slope equation.
Substitute the points and solve for the slope.
The answer is:
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What is the slope of the line depicted by this equation?

What is the slope of the line depicted by this equation?
This equation is written in standard form, that is,
where the slope is equal to
.

In this instance
and 

This question can also be solved by converting the slope-intercept form:
.
This equation is written in standard form, that is, where the slope is equal to
.
In this instance and
This question can also be solved by converting the slope-intercept form: .
Compare your answer with the correct one above
Find the slope of the line

Find the slope of the line
To find the slope of any line, we must get the equation into the form

where m is the slope and b is the y-intercept.
To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.


To isolate y, we now must divide each side by 3.


Now our equation is in the desired form. The coefficient of our x term is our slope,
. Therefore

To find the slope of any line, we must get the equation into the form
where m is the slope and b is the y-intercept.
To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.
To isolate y, we now must divide each side by 3.
Now our equation is in the desired form. The coefficient of our x term is our slope, . Therefore
Compare your answer with the correct one above

What is the slope of the function above?
What is the slope of the function above?
First you must get the formula into slope-intercept form which means having
by itself,
where
is the slope.
You must multiple both sides by
to get,
.
The slope is the value being multiplied by the
variable, so our slope is
.
First you must get the formula into slope-intercept form which means having by itself,
where
is the slope.
You must multiple both sides by to get,
.
The slope is the value being multiplied by the variable, so our slope is
.
Compare your answer with the correct one above