Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
0 reads0 ratings0 helpful

If (y=2x+(v-4)) and (y=(v+1)x+5) have the same (y)-intercept, what is the slope of the second line?

Advertisement

Answer and explanation

Correct answer: \(10\)

The y-intercept of the first line is \(v-4\), while that of the second line is \(5\). Since the y-intercepts are equal, \(v-4=5\), so \(v=9\). The slope of the second line \(y=(v+1)x+5\) is \(v+1=9+1=10\). Note that \(9\) is the value of \(v\), not the slope. Exam tip: in \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept.

Related tags

Linear EquationsSlopeY-InterceptParameterCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

\(10\)

Why is this the correct answer?

The y-intercept of the first line is \(v-4\), while that of the second line is \(5\). Since the y-intercepts are equal, \(v-4=5\), so \(v=9\). The slope of the second line \(y=(v+1)x+5\) is \(v+1=9+1=10\). Note that \(9\) is the value of \(v\), not the slope. Exam tip: in \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

Advertisement