In the line (y=0x+6), what change will occur in (y) when (x) increases by (10)?
Answer and explanation
Correct answer: \(0\)
The equation is \(y=0x+6\), so its slope is \(0\). When \(x\) increases by \(10\), the change in \(y\) is \(\Delta y=m\Delta x=0\times10=0\). The number \(6\) is only the y-intercept; it does not represent the change in \(y\) as \(x\) changes. Exam tip: In \(y=mx+c\), if \(m=0\), the line is horizontal and \(y\) remains constant.
Frequently asked questions
What is the correct answer to this question?
\(0\)
Why is this the correct answer?
The equation is \(y=0x+6\), so its slope is \(0\). When \(x\) increases by \(10\), the change in \(y\) is \(\Delta y=m\Delta x=0\times10=0\). The number \(6\) is only the y-intercept; it does not represent the change in \(y\) as \(x\) changes. Exam tip: In \(y=mx+c\), if \(m=0\), the line is horizontal and \(y\) remains constant.
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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