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How many lines exist that have a given slope and pass through a given point?

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Exactly one unique line exists. A specified slope m and a fixed point (x₁, y₁) uniquely determine the line using the point-slope relation y − y₁ = m(x − x₁).

Ganita Manjari Part 2 Class 9 Maths chapter 13 question answer

Class 9 Maths Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions

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  1. Only one unique line can exist with a given slope and passing through a given point. According to the point-slope form y − y₁ = m(x − x₁), fixing both the slope m and the coordinate point (x₁, y₁) uniquely establishes the intercept c = y₁ − mx₁. Since no other line can share both characteristics, the line is unique.

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/

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