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y = 0 is the equation of
- a)a line parallel to y-axis
- b)y-axis
- c)x-axis
- d)a line parallel to x-axis
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
y = 0 is the equation ofa)a line parallel to y-axisb)y-axisc)x-axisd)a...
The equation y = 0 represents the x-axis.
Explanation:
To understand why the equation y = 0 represents the x-axis, we need to understand the concept of graphing in a coordinate plane.
Coordinate Plane:
A coordinate plane is formed by two perpendicular lines, the x-axis and the y-axis. The x-axis is the horizontal line, while the y-axis is the vertical line. The point where these two axes intersect is called the origin, denoted as (0,0).
Equation y = 0:
The equation y = 0 represents a straight line in the coordinate plane. This equation states that the value of y is always 0, regardless of the value of x. In other words, the line is a horizontal line that passes through all points where y = 0.
Graphical Representation:
To graph the equation y = 0, we plot all the points that satisfy this equation. Since y = 0, the y-coordinate of every point on this line is 0. The x-coordinate can be any real number. Therefore, all points on this line have the form (x, 0), where x can be any real number.
Representation on the Coordinate Plane:
When we plot all these points on the coordinate plane, we can observe that they form a horizontal line passing through the origin (0,0). This line is the x-axis.
Conclusion:
Hence, the equation y = 0 represents the x-axis. It is a horizontal line passing through the origin, where the y-coordinate is always 0.
Explanation:
To understand why the equation y = 0 represents the x-axis, we need to understand the concept of graphing in a coordinate plane.
Coordinate Plane:
A coordinate plane is formed by two perpendicular lines, the x-axis and the y-axis. The x-axis is the horizontal line, while the y-axis is the vertical line. The point where these two axes intersect is called the origin, denoted as (0,0).
Equation y = 0:
The equation y = 0 represents a straight line in the coordinate plane. This equation states that the value of y is always 0, regardless of the value of x. In other words, the line is a horizontal line that passes through all points where y = 0.
Graphical Representation:
To graph the equation y = 0, we plot all the points that satisfy this equation. Since y = 0, the y-coordinate of every point on this line is 0. The x-coordinate can be any real number. Therefore, all points on this line have the form (x, 0), where x can be any real number.
Representation on the Coordinate Plane:
When we plot all these points on the coordinate plane, we can observe that they form a horizontal line passing through the origin (0,0). This line is the x-axis.
Conclusion:
Hence, the equation y = 0 represents the x-axis. It is a horizontal line passing through the origin, where the y-coordinate is always 0.
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y = 0 is the equation ofa)a line parallel to y-axisb)y-axisc)x-axisd)a...
X axis
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y = 0 is the equation ofa)a line parallel to y-axisb)y-axisc)x-axisd)a line parallel to x-axisCorrect answer is option 'C'. Can you explain this answer?
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