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If (y=-7x+s) and (y=4x-12) have the same (y)-intercept, what will (s) be?यदि (y=-7x+s) और (y=4x-12) का (y)-अवरोध समान है, तो (s) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-12\)\(-12\)
In the line equation \(y=mx+c\), the constant term \(c\) is the y-intercept. The y-intercept of \(y=-7x+s\) is \(s\), while that of \(y=4x-12\) is \(-12\). Since the intercepts are equal, \(s=-12\). Note that \(-7\) is the slope of the first line, not its y-intercept. Exam tip: put \(x=0\) to find the y-intercept.रेखा के समीकरण \(y=mx+c\) में स्थिर पद \(c\), y-अवरोध होता है। पहली रेखा \(y=-7x+s\) का y-अवरोध \(s\) है, जबकि दूसरी रेखा \(y=4x-12\) का y-अवरोध \(-12\) है। दोनों y-अवरोध समान होने पर \(s=-12\) होगा। \(-7\) पहली रेखा का ढाल है, y-अवरोध नहीं। परीक्षा टिप: y-अवरोध ज्ञात करने के लिए \(x=0\) रखें।
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