Explanation Given info. x + c y = 1 Concept used: y = m x + c Is equation of the line where m is the slope and c is constant Calculation: ( a ) x + c y = 1 y = − x c + 1 c here, slope is − 1 c − 1 c = 4 c = − 1 4 (b) When line passes through ( 3,1 ) then x + c y = 1 should satisfy the equation 3 + c × 1 = 1 c = 1 − 3 = − 2 (c) If line is horizontal, then y=k where k is constant

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Question

Chapter 1.2, Problem 25E

To determine

Whether there exists a constant c such that the line x+cy=1

(a) Has slope 4

(b) Passes through (3,1)

(c) Is horizontal

(d) Is vertical

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Chapter 1.2, Problem 24E

Chapter 1.2, Problem 26E

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Chapter 1 Solutions

Calculus - Standalone book

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Whether there exists a constant c such that the line x + c y = 1 (a) Has slope 4 (b) Passes through ( 3 , 1 ) (c) Is horizontal (d) Is vertical

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Whether there exists a constant c such that the line x+cy=1 (a) Has slope 4 (b) Passes through (3,1) (c) Is horizontal (d) Is vertical

Want to see the full answer?

Chapter 1 Solutions

Whether there exists a constant c such that the line x+cy=1

(a) Has slope 4

(b) Passes through (3,1)

(c) Is horizontal

(d) Is vertical