-
Home
- College algebra
- Linear functions
- Linear functions
Key concepts
- Linear functions can be represented in words, function notation, tabular form, and graphical form. See
[link] .
- An increasing linear function results in a graph that slants upward from left to right and has a positive slope. A decreasing linear function results in a graph that slants downward from left to right and has a negative slope. A constant linear function results in a graph that is a horizontal line. See
[link] .
- Slope is a rate of change. The slope of a linear function can be calculated by dividing the difference between
y -values by the difference in corresponding
x -values of any two points on the line. See
[link] and
[link] .
- An equation for a linear function can be written from a graph. See
[link] .
- The equation for a linear function can be written if the slope
and initial value
are known. See
[link] and
[link] .
- A linear function can be used to solve real-world problems given information in different forms. See
[link]
,
[link]
, and
[link] .
- Linear functions can be graphed by plotting points or by using the
y -intercept and slope. See
[link] and
[link] .
- Graphs of linear functions may be transformed by using shifts up, down, left, or right, as well as through stretches, compressions, and reflections. See
[link] .
- The equation for a linear function can be written by interpreting the graph. See
[link] .
- The
x -intercept is the point at which the graph of a linear function crosses the
x -axis. See
[link] .
- Horizontal lines are written in the form,
See
[link] .
- Vertical lines are written in the form,
See
[link] .
- Parallel lines have the same slope. Perpendicular lines have negative reciprocal slopes, assuming neither is vertical. See
[link] .
- A line parallel to another line, passing through a given point, may be found by substituting the slope value of the line and the
x - and
y -values of the given point into the equation,
and using the
that results. Similarly, the point-slope form of an equation can also be used. See
[link]
.
- A line perpendicular to another line, passing through a given point, may be found in the same manner, with the exception of using the negative reciprocal slope. See
[link] and
[link] .
Section exercises
Verbal
Terry is skiing down a steep hill. Terry's elevation,
in feet after
seconds is given by
Write a complete sentence describing Terry’s starting elevation and how it is changing over time.
Terry starts at an elevation of 3000 feet and descends 70 feet per second.
Got questions? Get instant answers now!
Jessica is walking home from a friend’s house. After 2 minutes she is 1.4 miles from home. Twelve minutes after leaving, she is 0.9 miles from home. What is her rate in miles per hour?
Got questions? Get instant answers now!
A boat is 100 miles away from the marina, sailing directly toward it at 10 miles per hour. Write an equation for the distance of the boat from the marina after
t hours.
Got questions? Get instant answers now!
Questions & Answers
how to create a software using Android phone
what is the difference between C and C++.
software is a instructions like programs
Shambhu
what is the difference between C and C++.
Yan
what is software engineering
Ahmad
software engineering is a the branch of computer science deals with the design,development, testing and maintenance of software applications.
Hayder
who is best bw software engineering and cyber security
Ahmad
Both software engineering and cybersecurity offer exciting career prospects, but your choice ultimately depends on your interests and skills. If you enjoy problem-solving, programming, and designing software syste
Hayder
what's software processes
I haven't started reading yet. by device (hardware) or for improving design Lol? Here. Requirement, Design, Implementation, Verification, Maintenance.
Vernon
I can give you a more valid answer by 5:00 By the way gm.
Vernon
it is all about designing,developing, testing, implementing and maintaining of software systems.
Ehenew
hello assalamualaikum
Sami
My name M Sami I m 2nd year student
Sami
what is the specific IDE for flutter programs?
jegudgdtgd my Name my Name is M and I have been talking about iey my papa john's university of washington post I tagged I will be in
Show the necessary steps with description in resource monitoring process (CPU,memory,disk and network)
What is software engineering
Software engineering is a branch of computer science directed to writing programs to develop Softwares that can drive or enable the functionality of some hardwares like phone , automobile and others
kelvin
if any requirement engineer is gathering requirements from client and after getting he/she Analyze them this process is called
The following text is encoded in base 64.
Ik5ldmVyIHRydXN0IGEgY29tcHV0ZXIgeW91IGNhbid0IHRocm93IG91dCBhIHdpbmRvdyIgLSBTdGV2ZSBXb3puaWFr
Decode it, and paste the decoded text here
what to do you mean
Vincent
What is the command to list the contents of a directory in Unix and Unix-like operating systems
how can i make my own software free of cost
The name of the author of our software engineering book is Ian Sommerville.
the set of intruction given to the computer to perform a task
Noor
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
Google Play and the Google Play logo are trademarks of Google Inc.