Class 11 Mathematics - Straight Lines - Slope of a line and angle between two lines Expert Quiz

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रेखा \(y=-4x+9\) का ढाल क्या है?

What is the slope of the line \(y=-4x+9\)?

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Correct Answer

A. \(-4\)

Explanation

Simple Explanation

रेखा के मानक रूप \(y=mx+c\) में \(x\) का गुणांक \(m\) ढाल होता है। यहाँ \(y=-4x+9\) में \(m=-4\), इसलिए सही उत्तर \(-4\) है। विकल्प \(4\) में चिह्न की त्रुटि है, जबकि \(9\) y-अवरोध है, ढाल नहीं। परीक्षा-युक्ति: \(y=mx+c\) में सीधे \(x\) का गुणांक पहचानें। / In the standard form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. For \(y=-4x+9\), \(m=-4\), so the correct answer is \(-4\). Option \(4\) has the wrong sign, while \(9\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) directly.

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