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A straight line passes through the points and
.
What is the -intercept of this line?
First calculate the slope:
The standard equation for a line is .
In this equation, is the slope of the line, and
is the
-intercept. All points on the line must fit this equation. Plug in either point (1,3) or (2,2).
Plugging in (1,3) we get .
Therefore, .
Our equation for the line is now:
To find the -intercept, we plug in
:
Thus, the -intercept the point (4,0).
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What is the x-intercept of the following equation?
We want to find the x-intercept, which is the point at which the graph crosses the x-axis. Every point on the x-axis has a y-value of 0. Thus, to find the x-intercept we just need to plug 0 in for y.
Thus, .
Dividing both sides by , we get
.
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Calculate the y-intercept of the line depicted by the equation below.
To find the y-intercept, let equal 0.
We can then solve for the value of .
The y-intercept will be .
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What is the y-intercept of the equation?
To find the y-intercept, we set the value equal to zero and solve for the
value.
Since the y-intercept is a point, we will need to convert our answer to point notation.
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What is the x-intercept of the equation?
To find the x-intercept of an equation, set the value equal to zero and solve for
.
Subtract from both sides.
Multiply both sides by .
Since the x-intercept is a point, we will want to write it in point notation:
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What is the y-intercept of the equation?
To find the y-intercept, we set the value equal to zero and solve for the value of
.
Since the y-intercept is a point, we want to write our answer in point notation: .
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What is the -intercept of the equation?
To find the x-intercept of an equation, set the value equal to zero and solve for
.
Subtract from both sides.
Divide both sides by .
Since the x-intercept is a point, we will write our answer in point notation: .
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What is the x-intercept of ?
To find the x-intercept, set y equal to zero and solve:
Subtract from both sides:
Divide both sides by to isolate x:
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What is the y-intercept of ?
To find the y-intercept, set the x value to zero and solve:
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What is the y-intercept of
To solve for the y-intercept, set the x value equal to zero:
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What is the x-intercept of ?
To solve for the x-intercept, set the y value equal to zero:
Subtract from both sides:
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What is the y-intercept of ?
Isolate for so that the equation is in slope-intercept form
.
The is the y-intercept, which in this case, is
.
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What are the -intercepts of
?
Factor out an from the original equation so that it is
.
Set that expressions equal to so that you can find the
-intercepts. Your answers are
and
.
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Find the -intercept of
.
Put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
-5y = 3x + 10
y = (-3/5)x + 10/(-5)
Now we can easily see that is the
-intercept.
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Find the -intercepts of
Take out a from the original equation so that you can set the expression
equal to
and get your
-intercepts
and
.
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What is the y-intercept of the following curve?
The y-intercept of a curve is the value of that curve when the x-coordinate is . Thus, we plug in
to our equation, yielding
.
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What is the y-intercept of ?
When looking at an equation in standard form,
is our y-intercept.
Or, set the value equal to
and solve.
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What is the x-intercept of ?
To solve for the x-intercept, we set the value equal to
and solve.
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Find the x and y-intercepts of the following equation:
To find the y-intercept, substitute zero for x and solve for y:
The y-intercept is at point .
To find the x-intercept, substitute zero for y and solve for x:
The x-intercept is at point .
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What is the x-intercept of ?
To find the x-intercept, we set and solve.
Subtract from both sides.
Divide both sides by .
Simplify.
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