In graphical representation of y = -4, line is:
Chapter 4 of Class 9th Mathematics, Linear Equations in Two Variables, introduces the concept of linear equations and their graphical representation. This chapter helps students understand how to solve and interpret linear equations involving two variables. It covers methods to find solutions and plot them on a graph. The exercises include multiple-choice questions (MCQs), short-answer questions, and other practice problems that allow students to test and strengthen their understanding. NCERT solutions provide step-by-step explanations, making complex problems easier to solve and helping students build a strong foundation in algebra.
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The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x.
Analyzing the options:
Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This option is correct.
Option (b): parallel to the y-axis
A line parallel to the y-axis would have an equation of the form x=constant, not y=−4. Therefore, this option is incorrect.
Option (c): passes through the origin
The origin is at (0,0), but the equation y=−4 represents a line where y is always −4, so the line does not pass through the origin. This option is incorrect.
Option (d): None of these
Since we have already found the correct option, this is incorrect.
Conclusion:
The correct answer is (a) parallel to the x-axis. This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
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