How to graph a line - Algebra
Card 0 of 63
Which of the following choices is an accurate visual description of the graph of
Which of the following choices is an accurate visual description of the graph of
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract 
from both sides to get
Simplified, this equation becomes
Remember, this is in 
form, where the slope is represented by 
. Therefore, the slope is negative. The y-intercept is represented by 
, which is 
in this case. So, the line has a negative slope and crosses the 
-axis at 
.
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract
Simplified, this equation becomes
Remember, this is in
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Which of the following is the graph of the equation 
?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form 
is a vertical line with its 
-intercept at 
. Therefore, the graph of 
is vertical with 
-intercept 
.
On the coordinate plane, the graph of an equation of the form
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Which of the following is the graph of the equation 
?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form 
is a horizontal line with its 
-intercept at 
. Therefore, the graph of 
is horizontal with 
-intercept 
.
On the coordinate plane, the graph of an equation of the form
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Which of the following is the graph of the equation 
?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we need to find the intercepts of 
.
To find the 
-intercept, set 
and solve for :
Therefore the 
-intercept is 
.
To find the 
-intercept, set 
and solve for :
Thus the 
-intercept is 
.
The correct choice is the line that passes through these two points.
Since the intercepts are shown on each graph, we need to find the intercepts of
To find the
Therefore the
To find the
Thus the
The correct choice is the line that passes through these two points.
Compare your answer with the correct one above
Which of the following is the graph of the equation 
?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we find the intercepts of 
and compare them.
-intercept:
Set 
The graph goes through 
. Since none of the graphs shown go through the origin, none of the graphs are correct.
Since the intercepts are shown on each graph, we find the intercepts of
Set
The graph goes through
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Which of the following graphs best represents the following function?
Which of the following graphs best represents the following function?
This equation describes a straight line with a slope of 
and a y-intercept of 
. We know this by comparing the given equation to the formula for a line in slope-intercept form.
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
This equation describes a straight line with a slope of
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
Compare your answer with the correct one above
Which equation matches the graph of the line shown?
Which equation matches the graph of the line shown?
An equation of a line is made of two parts: a slope and a y-intercept.
The y-intercept is where the function crosses the y-axis which in this problem it is 0.
The slope is determined by the rise of the function over the run which is 
, so the function is moving up one and over one.
Therefore your equation is:
, which is simply 
An equation of a line is made of two parts: a slope and a y-intercept.
The y-intercept is where the function crosses the y-axis which in this problem it is 0.
The slope is determined by the rise of the function over the run which is
Therefore your equation is:
Compare your answer with the correct one above
Which of the following choices is an accurate visual description of the graph of
Which of the following choices is an accurate visual description of the graph of
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract from both sides to get
Simplified, this equation becomes
Remember, this is in form, where the slope is represented by . Therefore, the slope is negative. The y-intercept is represented by , which is in this case. So, the line has a negative slope and crosses the -axis at .
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract
Simplified, this equation becomes
Remember, this is in
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form is a vertical line with its -intercept at . Therefore, the graph of is vertical with -intercept .
On the coordinate plane, the graph of an equation of the form
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form is a horizontal line with its -intercept at . Therefore, the graph of is horizontal with -intercept .
On the coordinate plane, the graph of an equation of the form
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we need to find the intercepts of .
To find the -intercept, set and solve for :
Therefore the -intercept is .
To find the -intercept, set and solve for :
Thus the -intercept is .
The correct choice is the line that passes through these two points.
Since the intercepts are shown on each graph, we need to find the intercepts of
To find the
Therefore the
To find the
Thus the
The correct choice is the line that passes through these two points.
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we find the intercepts of and compare them.
-intercept:
Set
The graph goes through . Since none of the graphs shown go through the origin, none of the graphs are correct.
Since the intercepts are shown on each graph, we find the intercepts of
Set
The graph goes through
Compare your answer with the correct one above
Which of the following graphs best represents the following function?
Which of the following graphs best represents the following function?
This equation describes a straight line with a slope of and a y-intercept of . We know this by comparing the given equation to the formula for a line in slope-intercept form.
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
This equation describes a straight line with a slope of
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
Compare your answer with the correct one above
Which equation matches the graph of the line shown?
Which equation matches the graph of the line shown?
An equation of a line is made of two parts: a slope and a y-intercept.
The y-intercept is where the function crosses the y-axis which in this problem it is 0.
The slope is determined by the rise of the function over the run which is , so the function is moving up one and over one.
Therefore your equation is:
, which is simply
An equation of a line is made of two parts: a slope and a y-intercept.
The y-intercept is where the function crosses the y-axis which in this problem it is 0.
The slope is determined by the rise of the function over the run which is
Therefore your equation is:
Compare your answer with the correct one above
Which of the following choices is an accurate visual description of the graph of
Which of the following choices is an accurate visual description of the graph of
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract from both sides to get
Simplified, this equation becomes
Remember, this is in form, where the slope is represented by . Therefore, the slope is negative. The y-intercept is represented by , which is in this case. So, the line has a negative slope and crosses the -axis at .
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtract
Simplified, this equation becomes
Remember, this is in
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form is a vertical line with its -intercept at . Therefore, the graph of is vertical with -intercept .
On the coordinate plane, the graph of an equation of the form
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
On the coordinate plane, the graph of an equation of the form is a horizontal line with its -intercept at . Therefore, the graph of is horizontal with -intercept .
On the coordinate plane, the graph of an equation of the form
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we need to find the intercepts of .
To find the -intercept, set and solve for :
Therefore the -intercept is .
To find the -intercept, set and solve for :
Thus the -intercept is .
The correct choice is the line that passes through these two points.
Since the intercepts are shown on each graph, we need to find the intercepts of
To find the
Therefore the
To find the
Thus the
The correct choice is the line that passes through these two points.
Compare your answer with the correct one above
Which of the following is the graph of the equation ?
Which of the following is the graph of the equation
Since the intercepts are shown on each graph, we find the intercepts of and compare them.
-intercept:
Set
The graph goes through . Since none of the graphs shown go through the origin, none of the graphs are correct.
Since the intercepts are shown on each graph, we find the intercepts of
Set
The graph goes through
Compare your answer with the correct one above
Which of the following graphs best represents the following function?
Which of the following graphs best represents the following function?
This equation describes a straight line with a slope of and a y-intercept of . We know this by comparing the given equation to the formula for a line in slope-intercept form.
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
This equation describes a straight line with a slope of
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
Compare your answer with the correct one above