timer Asked: Oct 18th, 2013
account_balance_wallet $5

Question Description

compare the slope of the line joining the two points together against the slope of the objective function

Tutor Answer

School: UC Berkeley

Thank you for the opportunity to help you with your question!

Straight lines will be parallel if they have the same slope. There is no limit then to the number of lines with slope 2:

But there will be only one line with slope 2 that passes through a given point, such as (1, −3). In other words, a line will be determined by its slope and the coördinates of one point on it.  How can we find the equation of that line?

Problem 1. To a is the slope of the line.

We are given that a = 2.  Therefore, the equation will look like this:

y  =  2x + b.

We must now determine b.

To do that, we must use the information that (1, −3) are the coördinates of a point on the line.  Those coördinates then solve the equation.

−3  =  2· 1 + b

This implies

b  =  −5.

The equation of the line is

y  =  2x − 5.

Please let me know if you need any clarification. I'm always happy to answer your questions.

flag Report DMCA

Thank you! Reasonably priced given the quality not just of the tutors but the moderators too. They were helpful and accommodating given my needs.

Similar Questions
Hot Questions
Related Tags
Study Guides

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors