Which point is the \(y\)-intercept of the line \(7x-2y=14\)?रेखा \(7x-2y=14\) का \(y\)-अवरोध कौन-सा बिंदु है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\left(0,-7\right)\)\(\left(0,-7\right)\)
To find the \(y\)-intercept, put \(x=0\). Then \(7(0)-2y=14\), so \(-2y=14\) and \(y=-7\). Therefore, the \(y\)-intercept is \(\left(0,-7\right)\). Option B has the wrong sign, while \(\left(2,0\right)\) and \(\left(-2,0\right)\) represent possible \(x\)-intercept points, not the \(y\)-intercept. Exam tip: Set \(x=0\) to find the \(y\)-intercept.\(y\)-अवरोध ज्ञात करने के लिए \(x=0\) रखते हैं। तब \(7(0)-2y=14\), अर्थात् \(-2y=14\), इसलिए \(y=-7\)। अतः \(y\)-अवरोध \(\left(0,-7\right)\) है। विकल्प B में चिह्न गलत है, जबकि \(\left(2,0\right)\) और \(\left(-2,0\right)\) \(x\)-अवरोध से संबंधित बिंदु हैं। परीक्षा-युक्ति: \(y\)-अवरोध के लिए हमेशा \(x=0\) रखें।
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