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In the line (y=0x+9), what change will occur in (y) when (x) increases by (12)?

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Answer and explanation

Correct answer: \(0\)

The equation is \(y=0x+9\), so its slope is \(0\). Therefore, when \(x\) increases by \(12\), the change in \(y\) is \(0\times 12=0\). Here, \(9\) is the y-intercept, not the change in \(y\). Exam tip: For \(y=mx+c\), use \(\Delta y=m\Delta x\).

Related tags

Zero SlopeLinear EquationsRate Of ChangeY-InterceptCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

\(0\)

Why is this the correct answer?

The equation is \(y=0x+9\), so its slope is \(0\). Therefore, when \(x\) increases by \(12\), the change in \(y\) is \(0\times 12=0\). Here, \(9\) is the y-intercept, not the change in \(y\). Exam tip: For \(y=mx+c\), use \(\Delta y=m\Delta x\).

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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