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In the line \(y=-\frac{2}{7}x+15\), how much will (y) decrease when (x) increases by (21)?रेखा \(y=-\frac{2}{7}x+15\) में (x) के (21) बढ़ने पर (y) कितना घटेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(6\)\(6\)
The slope of the line is \(-\frac{2}{7}\). This means that for every increase of \(7\) in \(x\), \(y\) decreases by \(2\). Since \(21=3\times7\), an increase of \(21\) in \(x\) makes \(y\) decrease by \(3\times2=6\). Therefore, \(6\) is correct. Exam tip: A negative slope means that \(y\) decreases as \(x\) increases.रेखा की ढाल \(-\frac{2}{7}\) है, अर्थात \(x\) में प्रत्येक \(7\) की वृद्धि पर \(y\) में \(2\) की कमी होती है। इसलिए \(x\) में \(21=3\times7\) की वृद्धि पर \(y\) में \(3\times2=6\) की कमी होगी। अतः सही उत्तर \(6\) है। परीक्षा टिप: ढाल ऋणात्मक हो तो \(x\) बढ़ने पर \(y\) घटता है।
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