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In the line \(y=\frac{5}{2}x-7\), how much will (y) increase when (x) increases by (2)?रेखा \(y=\frac{5}{2}x-7\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5\)\(5\)
The slope of \(y=\frac{5}{2}x-7\) is \(\frac{5}{2}\). Therefore, when \(x\) increases by \(2\), the change in \(y\) is \(\frac{5}{2}\times2=5\). Hence, \(5\) is correct. The \(-7\) is the y-intercept and does not affect the rate of increase. Exam tip: for \(y=mx+c\), use \(\Delta y=m\Delta x\).रेखा \(y=\frac{5}{2}x-7\) की ढाल \(\frac{5}{2}\) है। अतः \(x\) में \(2\) की वृद्धि पर \(y\) में परिवर्तन \(\frac{5}{2}\times2=5\) होगा। इसलिए सही उत्तर \(5\) है। \(-7\) y-अवरोध है; यह वृद्धि की दर को प्रभावित नहीं करता। परीक्षा टिप: \(y=mx+c\) में \(x\) के परिवर्तन \(\Delta x\) के लिए \(\Delta y=m\Delta x\) लें।
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