What is the slope of the line (y=-12)?
Answer and explanation
Correct answer: \(0\)
In \(y=-12\), the value of \(y\) remains constant for every value of \(x\). Therefore, it represents a horizontal line parallel to the x-axis. Since the change in \(y\) is \(0\), its slope is \(m=\frac{\Delta y}{\Delta x}=0\). An undefined slope belongs to a vertical line, not a horizontal line. Exam tip: whenever you see \(y=\text{constant}\), the slope is \(0\).
Frequently asked questions
What is the correct answer to this question?
\(0\)
Why is this the correct answer?
In \(y=-12\), the value of \(y\) remains constant for every value of \(x\). Therefore, it represents a horizontal line parallel to the x-axis. Since the change in \(y\) is \(0\), its slope is \(m=\frac{\Delta y}{\Delta x}=0\). An undefined slope belongs to a vertical line, not a horizontal line. Exam tip: whenever you see \(y=\text{constant}\), the slope is \(0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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