Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 1.1, Problem 52E

To determine

To find: The equation of the line passing through (−2,−1) and parallel to the line y=−3x+1 .

Expert Solution & Answer

Answer to Problem 52E

The correct choice is (B).

Explanation of Solution

Given information: The equation is y=−3x+1 and the point is (−2,−1) .

Calculation:

Compare the equation y=−3x+1 with y=mx+b .

m1=−3

It is given that the lines are parallel. So, m1=m2 .

m2=−3

The point slope form of the equation of line is given by,

y−y1=m(x−x1)

Substitute −2 for x1 , −1 for y1 , and −3 for m in the above formula.

y+1=−3(x+2)y=−3x−6−1y=−3x−7

Therefore, the correct choice is (B).

Chapter 1.1, Problem 51E

Chapter 1.1, Problem 53E

Chapter 1 Solutions

Calculus: Graphical, Numerical, Algebraic

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The equation of the line passing through ( − 2 , − 1 ) and parallel to the line y = − 3 x + 1 .