X-intercept and y-intercept - GED Math
Card 1 of 90
What is the x-intercept of the following equation? 
What is the x-intercept of the following equation?
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The x-intercept is the value of
when
. Substitute the value for y.

Add one on both sides.


Divide by three on both sides.

The answer is: 
The x-intercept is the value of when
. Substitute the value for y.
Add one on both sides.
Divide by three on both sides.
The answer is:
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Which of the following equations has as its graph a line with
-intercept
?
Which of the following equations has as its graph a line with -intercept
?
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The equation in which
when
is graphed by a line that includes point
- that is, its
-intercept is
. Therefore, substitute 0 for
in each equation and solve for
.
















The correct choice is
, since
is a solution of this equation.
The equation in which when
is graphed by a line that includes point
- that is, its
-intercept is
. Therefore, substitute 0 for
in each equation and solve for
.
The correct choice is , since
is a solution of this equation.
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Which of the following equations has as its graph a line with
-intercept 9?
Which of the following equations has as its graph a line with -intercept 9?
Tap to reveal answer
The equation in which
when
is graphed by a line that includes point
- that is, its
-intercept is 9. Therefore, substitute 0 for
in each equation and solve for
.
















The correct choice is
, since
is a solution of this equation.
The equation in which when
is graphed by a line that includes point
- that is, its
-intercept is 9. Therefore, substitute 0 for
in each equation and solve for
.
The correct choice is , since
is a solution of this equation.
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Find the
and
-intercepts of the following equation:

Find the and
-intercepts of the following equation:
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To find the
, we need to set
equal to 0 in our equation:

Now solve for
:


To find the
, we need to set
equal to 0 in our equation:

Now solve for
:


To find the , we need to set
equal to 0 in our equation:
Now solve for :
To find the , we need to set
equal to 0 in our equation:
Now solve for :
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Find the
and
-intercepts for the following equation:

Find the and
-intercepts for the following equation:
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To find the
, set the
equal to 0:

Then solve for
:


To find the
, set the
equal to 0:

Then solve for
:


To find the , set the
equal to 0:
Then solve for :
To find the , set the
equal to 0:
Then solve for :
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Find the
and
-intercepts for the following equation:

Find the and
-intercepts for the following equation:
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To find the
, set
equal to 0:

Then solve:


Remember, the square root of
is both
and 
To find the
, set
equal to 0:

Then solve:

To find the , set
equal to 0:
Then solve:
Remember, the square root of is both
and
To find the, set
equal to 0:
Then solve:
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Given the following equation, what is the x-intercept? 
Given the following equation, what is the x-intercept?
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The x-intercept is the value of
when
.
Substitute the value into the equation and solve for
.


Subtract 6 on both sides.


Divide by 3 on both sides.

The answer is: 
The x-intercept is the value of when
.
Substitute the value into the equation and solve for .
Subtract 6 on both sides.
Divide by 3 on both sides.
The answer is:
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What is the y-intercept of the following equation? 
What is the y-intercept of the following equation?
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The y-intercept is the value of
when
.
Substitute zero for x.


Subtract 1 on both sides.


Divide by 4 on both sides.

The answer is: 
The y-intercept is the value of when
.
Substitute zero for x.
Subtract 1 on both sides.
Divide by 4 on both sides.
The answer is:
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What is the y-intercept of the following line:

What is the y-intercept of the following line:
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To find the y-intercept, we will look at the slope-intercept form of a line:

where m is the slope and b is the y-intercept.
So, given the equation

we can see the y-intercept is -11. Note that we must include the negative sign.
To find the y-intercept, we will look at the slope-intercept form of a line:
where m is the slope and b is the y-intercept.
So, given the equation
we can see the y-intercept is -11. Note that we must include the negative sign.
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What is the y-intercept of the following equation? 
What is the y-intercept of the following equation?
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The y-intercept is the value of
when
.
Substitute
into the equation.


Divide by 2 on both sides.

The answer is: 
The y-intercept is the value of when
.
Substitute into the equation.
Divide by 2 on both sides.
The answer is:
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If the x-intercept is 4, and the y-intercept is 2, what must be the slope?
If the x-intercept is 4, and the y-intercept is 2, what must be the slope?
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We can obtain two known points from using the intercepts. The y-intercept is when
, and x-intercept is when
.
The points are: 
Write the formula for the slope.

The answer is: 
We can obtain two known points from using the intercepts. The y-intercept is when , and x-intercept is when
.
The points are:
Write the formula for the slope.
The answer is:
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Determine the x-intercept of the following: 
Determine the x-intercept of the following:
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The x-intercept is the value of
when
.
Substitute
into the given equation.

Add 6 on both sides.


Divide by 5 on both sides.

The answer is: 
The x-intercept is the value of when
.
Substitute into the given equation.
Add 6 on both sides.
Divide by 5 on both sides.
The answer is:
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What is the y-intercept given the following function? 
What is the y-intercept given the following function?
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The following equation is already written in slope-intercept form.

The y-intercept is the variable
.
Since the value is absent, the y-intercept is zero.
The answer is: 
The following equation is already written in slope-intercept form.
The y-intercept is the variable .
Since the value is absent, the y-intercept is zero.
The answer is:
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Find the x-intercept of the line with the equation
.
Find the x-intercept of the line with the equation .
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Recall that at the x-intercept, the y-coordinate will be
. Thus, plug in
for
in the given equation.



The coordinates of the x-intercept is located at
.
Recall that at the x-intercept, the y-coordinate will be . Thus, plug in
for
in the given equation.
The coordinates of the x-intercept is located at .
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The following points lie on a line.

What is the equation of the line?
The following points lie on a line.
What is the equation of the line?
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Start by finding the slope of the line by using any two points.
Recall how to find the slope of a line:

Using the points
, we can find the slope.

Now, we can write the following equation:

To find the value of
, the y-intercept, plug in any point into the equation above. Using the point
, we can write the following equation:


Thus, the complete equation for this line is
.
Start by finding the slope of the line by using any two points.
Recall how to find the slope of a line:
Using the points , we can find the slope.
Now, we can write the following equation:
To find the value of , the y-intercept, plug in any point into the equation above. Using the point
, we can write the following equation:
Thus, the complete equation for this line is .
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Find the x-intercept of the following equation:

Find the x-intercept of the following equation:
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Find the x-intercept of the following equation:

The x-intercept is the point where the line crosses the x-axis. At this point, the y-value must be 0.
To find the x-intercept, plug in "0" for y and solve for x.


Now finish up by dividing by 2:

We can check our answer by plugging it back into our equation:



Everything looks good, so our answer is -8.5
Find the x-intercept of the following equation:
The x-intercept is the point where the line crosses the x-axis. At this point, the y-value must be 0.
To find the x-intercept, plug in "0" for y and solve for x.
Now finish up by dividing by 2:
We can check our answer by plugging it back into our equation:
Everything looks good, so our answer is -8.5
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Find the x intercept of the following linear equation.

Find the x intercept of the following linear equation.
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Find the x intercept of the following linear equation.

x intercepts occur when y=0, in other words, when we have no height.
So, plug in 0 for y and solve for x



So our x intercept is negative one half.
Find the x intercept of the following linear equation.
x intercepts occur when y=0, in other words, when we have no height.
So, plug in 0 for y and solve for x
So our x intercept is negative one half.
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Find the y intercept of the following linear equation.

Find the y intercept of the following linear equation.
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Find the y intercept of the following linear equation.

The y-intercept occurs when x is 0. Find it by plugging in 0 for x and solving for y.


So our answer is 1.5
Find the y intercept of the following linear equation.
The y-intercept occurs when x is 0. Find it by plugging in 0 for x and solving for y.
So our answer is 1.5
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Which of the following equations has as its graph a line with
-intercept
?
Which of the following equations has as its graph a line with -intercept
?
Tap to reveal answer
The equation in which
when
is graphed by a line that includes point
- that is, its
-intercept is
. Therefore, substitute 0 for
in each equation and solve for
.
















The correct choice is
, since
is a solution of this equation.
The equation in which when
is graphed by a line that includes point
- that is, its
-intercept is
. Therefore, substitute 0 for
in each equation and solve for
.
The correct choice is , since
is a solution of this equation.
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Which of the following equations has as its graph a line with
-intercept 9?
Which of the following equations has as its graph a line with -intercept 9?
Tap to reveal answer
The equation in which
when
is graphed by a line that includes point
- that is, its
-intercept is 9. Therefore, substitute 0 for
in each equation and solve for
.
















The correct choice is
, since
is a solution of this equation.
The equation in which when
is graphed by a line that includes point
- that is, its
-intercept is 9. Therefore, substitute 0 for
in each equation and solve for
.
The correct choice is , since
is a solution of this equation.
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