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Example Questions
Example Question #16 : How To Graph An Ordered Pair
Find the point that corresponds to the following ordered pair:
in order to get to the point , start at the origin and move right
units and up
units.
This is point .
Example Question #3301 : Algebra 1
Find the point that corresponds to the following ordered pair:
in order to get to the point , start at the origin and move down
units.
This is point .
Example Question #11 : How To Graph An Ordered Pair
Which ordered pair is plotted on the following graph
An ordered pair can be looked at like this:
(x-coordinate, y-coordinate)
where the first number represents the x-coordinate and the second number represent the y-coordinate.
The x-coordinate is simply the position on the x-axis. The y-coordinate is the position on the y-axis.
If we look at a coordinate plane, we can see where the x- and the y-axes are located.
The x-axis is horizontal (going left to right) and the y-axis is vertical (going up and down).
Now, when we graph the ordered pair , we locate
on the x-axis.
In this example, the y-coordinate is . From the current position, we locate
on the y-axis.
This is where we plot the point .
Example Question #18 : How To Graph An Ordered Pair
Find the point that corresponds to the following ordered pair:
In order to get to the point , start at the origin and move left
units and up
units.
This is point .
Example Question #1 : How To Graph A Line
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
.
Example Question #21 : Functions And Lines
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
.
Example Question #22 : Functions And Lines
Which of the following is the graph of the equation ?
None of the other choices are correct.
None of the other choices are correct.
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.
Example Question #21 : Graphing
Which of the following graphs best represents the following function?
None of these
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.
Example Question #21 : Graphing
Which of the following choices is an accurate visual description of the graph of
A parabola with its vertex at
A line with a positive slope that crosses the -axis at
A line with a negative slope that crosses the -axis at
A line with a slope of zero that crosses the -axis at
A line with a slope of that crosses the
-axis at the origin
A line with a negative slope that 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 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
.
Example Question #2 : How To Graph A Line
Which of the following is the graph of the equation ?
None of the other choices are correct.
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.
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