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If the slope is (-4) and (m+c=3) in (y=mx+c), what is the (y)-intercept?यदि (y=mx+c) में ढाल (-4) है और (m+c=3), तो (y)-अवरोध क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(7\)\(7\)
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Given slope \(m=-4\). Substituting in \(m+c=3\) gives \(-4+c=3\), so \(c=7\). Choosing \(5\) would give \(m+c=1\), which does not satisfy the condition. Exam tip: In \(y=mx+c\), identify \(c\) directly as the \(y\)-intercept.रेखा के रूप \(y=mx+c\) में ढाल \(m\) होती है और \(y\)-अवरोध \(c\) होता है। दी गई ढाल से \(m=-4\) है। अतः \(m+c=3\) में रखने पर \(-4+c=3\), इसलिए \(c=7\)। विकल्प \(5\) लेने पर \(m+c=1\) होगा, जो दी गई शर्त को संतुष्ट नहीं करता। परीक्षा टिप: \(y=mx+c\) में \(c\) को सीधे \(y\)-अवरोध पहचानें।
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