
How do you graph the line ?
Answer
480.6k+ views
Hint: The given equation of the line is independent of variable. Hence, we can say that this line is parallel to the axis but passing through points with constant coordinates.
Formulas used: The standard given of a line passing through a point , , where is the slope of the line and is the -intercept.
Complete step-by-step answer:
We know that,
------(1)
is the standard equation of a line.
Here, we are given the equation
-----------(2)
Comparing equations (1) and (2), we can say that,
and .
That is, the slope of the line is zero.
The line is parallel to the axis.
Also, the line has -intercept at .
Thus, we can conclude that is a line having slope zero and passing through .
Now, let us plot the line in a graph as shown:
Additional information:
The standard equations of some special lines:
Parallel to axis: , where is any constant.
Parallel to axis: , where is any constant.
Passing through the origin: , where is the slope of the line.
Note: The plotting of a line requires at least one of the following requirement as below:
There must be at least two distinct points.
There must be an equation of the line.
Formulas used: The standard given of a line passing through a point
Complete step-by-step answer:
We know that,
is the standard equation of a line.
Here, we are given the equation
Comparing equations (1) and (2), we can say that,
That is, the slope of the line is zero.
Also, the line has
Thus, we can conclude that
Now, let us plot the line in a graph as shown:

Additional information:
The standard equations of some special lines:
Parallel to
Parallel to
Passing through the origin:
Note: The plotting of a line requires at least one of the following requirement as below:
There must be at least two distinct points.
There must be an equation of the line.
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