What type of line does (y=6) represent?
Answer and explanation
Correct answer: Line parallel to x-axis
The governing coordinate-geometry idea is that an equation y = a fixes the vertical coordinate while allowing x to take any real value. For y = 6, points such as (0,6), (2,6), and (−3,6) all lie on the graph. Since their y-coordinate is constant and their x-coordinates vary, they form a horizontal line. Every horizontal line is parallel to the x-axis, so option A is correct. It is not parallel to the y-axis, because a vertical line has the form x = a. It does not pass through the origin because the origin has y = 0, and it is not a single point because infinitely many x-values are possible.
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What is the correct answer to this question?
Line parallel to x-axis
Why is this the correct answer?
The governing coordinate-geometry idea is that an equation y = a fixes the vertical coordinate while allowing x to take any real value. For y = 6, points such as (0,6), (2,6), and (−3,6) all lie on the graph. Since their y-coordinate is constant and their x-coordinates vary, they form a horizontal line. Every horizontal line is parallel to the x-axis, so option A is correct. It is not parallel to the y-axis, because a vertical line has the form x = a. It does not pass through the origin because the origin has y = 0, and it is not a single point because infinitely many x-values are possible.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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