
How do you graph \[x = - 2\]?
Answer
563.1k+ views
Hint: In the given question, it is asked to graph the line \[x = - 2\]. Now, this line is going to be parallel to the y-axis because its y-coordinate is going to be zero. The given value of the x-coordinate gives us the offset from the origin vertically, i.e., how far is the line from the origin when you count in the direction of the abscissa.
Complete step-by-step answer:
The given equation of the line is \[x = - 2\]. This line is going to be parallel to the y-axis, which means that it is never going to touch the y-axis, i.e., the ordinate of this line is always going to be zero.
Now, we graph the line by taking three points right (because the value of \[x\] is positive) of the origin in the direction of the x-axis.
Additional Information:
The graph of a linear equation \[Ax + By = C\] is a line.
1. Every point on the line is a solution of the equation.
2. Every solution of this equation is a point on this line.
Note: So, for solving questions of such type, we first analyse what has been given to us. Then we carefully write down what we have to find. Then we access the formula which connects the two things. In this question, we only need to be careful about one thing: when is the line going to be parallel to the x-axis and when it will be to y-axis. After that we just count the number of points to be fit in that orientation, then plot it on the graph and we are going to get the answer.
Complete step-by-step answer:
The given equation of the line is \[x = - 2\]. This line is going to be parallel to the y-axis, which means that it is never going to touch the y-axis, i.e., the ordinate of this line is always going to be zero.
Now, we graph the line by taking three points right (because the value of \[x\] is positive) of the origin in the direction of the x-axis.
Additional Information:
The graph of a linear equation \[Ax + By = C\] is a line.
1. Every point on the line is a solution of the equation.
2. Every solution of this equation is a point on this line.
Note: So, for solving questions of such type, we first analyse what has been given to us. Then we carefully write down what we have to find. Then we access the formula which connects the two things. In this question, we only need to be careful about one thing: when is the line going to be parallel to the x-axis and when it will be to y-axis. After that we just count the number of points to be fit in that orientation, then plot it on the graph and we are going to get the answer.
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