**Unformatted text preview: **! MATH114N-11400 Discussions Week 4 Discussion: Graphs January 2020 Account Dashboard Courses Syllabus This is a graded discussion: 25 points Announcements possible Resources Week 4 Discussion: Graphs Modules
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Graphing Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination New Webex Initial Post Instructions Academic Support Before we begin graphing systems of equations, a good starting point is to
review our knowledge of 2-D graphs. These graphs are known as 2-D because
they have two axes. Find an online image of a graph to use as the foundation
of your discussion. (This is easily accomplished by searching within Google
Images.)
Using your graph as the example:
1. Select any two points on the graph and apply the slope formula,
interpreting the result as a rate of change (units of measurement
required); and
2. Use rate of change (slope) to explain why your graph is linear (constant
slope) or not linear (changing slopes). ! Embed the graph into the post by copying and pasting into the discussion. You
must cite the source of the image. Also be sure to show the computations used
to determine slope.
Follow-Up Post Instructions
Respond to at least two peers in a substantive, content-specific way. Further
the dialogue by providing more information and clarification.
Writing Requirements
Minimum of 3 posts (1 initial & 2 follow-up) with first post by Wednesday
APA format for in-text citations and list of references
Grading
This activity will be graded using the Discussion Grading Rubric. Please review
the following link:
Link (webpage): Discussion Guidelines
Course Outcomes (CO): 1, 2
Due Date for Initial Post: By 11:59 p.m. MT on Wednesday
Due Date for Follow-Up Posts: By 11:59 p.m. MT on Sunday
Search entries or author Unread $ % & Subscribed # Reply " Prince Sekyi (Instructor)
Jan 26, 2020 Hello Class
For this week's discussion we are dealing with the slope, graph and
linear equations. Follow the instruction above to do your initial post. This
is an example
The graph below represent the my monthly saving (in hundreds of
dollars) , x=number of months and y=how much have in my saving
account. My initial saving is $300. After 1 month I saved $500. This
information can be written as (0, 3) and (1, 5).
The slope is given as The slope( rate of change) is $200 per month. This means my total
saving increases by $200 per month.
My graph is linear because the slope remains the same. Do well to state the unit of your slope.
# Reply ' " Prince Sekyi (Instructor)
Jan 26, 2020 Press "
" on the Menu bar above to insert the Math equation in your
discussions.
# Reply ' " Prince Sekyi (Instructor)
Jan 26, 2020 Class
I have open the " Midterm Review", you can start using it to prepare for
your Midterm.
# Reply ' Tamara Taylor Schenck " Jan 26, 2020 When viewing the 2D graft posted above you can easily see the two points
that are plotted. The illustrator has graphed (8,0) and (0,5). Given that
information I will be able to find the slope intercept form (
). I
will be able to find the slope by plugging in the given points with the
following formula:
with a slope of . After I evaluated this problem I came out
. Now that I know my slope I can solve for B which is the Y intercept. Now I can plug those numbers into the equation previously
mentioned: . After evaluating I came out to as my Y intercept.
When graphing in 2D all this means is your rise over run, or how much you
run and climb, or fall. i know it's easier to learn them without fractions of a
number, but the reality is you may not always get whole numbers when
trying to evaluate.
Reference:
Khanacademy.org, 2018.
# Reply ' Renee Connell " Jan 29, 2020 Hi Tamara,
The graph you showed was easy to see the points plotted and is a
great example. Rise over run is very important to know to help with
graphing so I am happy you mentioned that was well. Thank You for
the great example.
-Renee
# Reply ' Titilayo Akinyele " Jan 29, 2020 Hi Tamara
Great explanation. The rate of changes was clearly interpreted. And
you are also right that when you get two variables and one of them is
fraction, graphing it wont be easy. I ran into that example too. Reason
why you have to make sure you have more than two point of
interceptions on your graph should in case.
# Reply ' Massiel Diaz " Jan 31, 2020 Hey Tamara,
Your description was right on! Easy to understand, in full detail, thanks
for using this example and giving such a full accurate description.
# Reply ' Samantha Grinberg " Jan 31, 2020 Tamara,
This was such a well thought out and organized post! You took it to step
by step and made sure to hit all the points that were needed! Thank you
for explaining rise over run, I liked that you also described it as climb
over fall which some may find easier to remember.
# Reply ' Laura Cummings " Feb 1, 2020 Hi Tamara,
Your graph is a great example. The graph is easy to understand and
the way you explain it, makes the example understandable. Thank you
for picking something easy and something we can all understand.
# Reply ' Imani Bryson " Jan 27, 2020 Hello Class, I found a simple graph showing two points in quadrant I. Point A: (1,0) and
Point B: (4,5), this is a short distance between two points know as a line.
The formula being used to identify the slope is
plug in the points you get m= . When you . This is known as rise over run which determines the steepness of a line. To determine if a function is linear and
non-linear is determine what are the changes of Y and X. If it remains
constant that the graph is linear.
Example : The changes between each coordinate is a constant. Rising by 5
and running 3 supporting the answer that my graph is linear.
X Y 7 10 4 5 1 0 -2 -5 Reference:
Shiffman, D. (2008). Coordinating Systems and Shapes. Retrieved from:
Khan Academy. (2020). Slope Examples. Retrieved from:
# Reply ' Samantha Ortiz " Jan 27, 2020 Hello Imani,
I have to say your whole post was helpful but the table that you
demonstrated, to me, was extremely helpful to understand this concept.
As I said below in another post, graphing and liner equations are not for
me. No matter how much someone explains, I can understand it and I
can do it but it is definitely not my first choice. Thanks for making this
problem easy to understand and follow along to. And again, great job
on the table
# Reply ' Delvina Demirovic " Jan 27, 2020 Imani,
I appreciate your discussion post being very clear and simple to
understand. The graphs makes it easy to visualize and allows one to
know how to graph the points. Before reading the graph, people should
know where the x and y axis are on the graph. A good way to
remember this is that the y looks like a line going up and down. This is
the y-axis which runs up and down and the x-axis will run left and right.
Thanks for your information, it allowed me to have a better
understanding of slopes and how to graph them!
Delvina
# Reply ' " Prince Sekyi (Instructor)
Jan 28, 2020 Using the slope formula, the slope, . Since the graph is linear, any two points will give us same slope.
# Reply ' Taurye Lugo " Jan 28, 2020 Hello Imani,
The way to graph a linear equation was well stated in your above
example by using the slope and y-intercept. By reviewing the points
that you plotted and the underlying table of information, I found it
extremely easy to understand. With the information stated, I can see
that your graph is linear because the slope remains the same. Great
example and Well done!
# Reply ' Deanna Washington " Jan 30, 2020 Imani, great job with your explanation on your graph and how to find the
slope between two given points. Also, I love the fact that you added in a
graph table to your post to show how the x and y plots you will get
when you apply the slope formula. Very easy to read and understand.
# Reply ' Massiel Diaz " Jan 31, 2020 Hey Imani,
Your graph was super easy to not only read and understand but simple!
Loved your explaining, I understood what you meant, thanks for the
mini lesson. Good work!
# Reply ' Laura Cummings " Feb 1, 2020 This is a great example. Not only do you have the graph to showing
the coordinates of the x,y axis, but you have the example under it that
shows each point on the graph. It is easier to understand and you
know where the line is running through. Tank you for the example.
# Reply ' Joseph Aning " Feb 2, 2020 Hello Imani I like how you took the time to explain in detail yet very
clearly what a slope is but I noticed you forgot to define what the y
intersect was. I feel the y intersect is as important as the slope
because the slope intersect equation includes the y intersect. The
method you showed is the graphical way to satisfy the linear equation.
Thank you for showing that method, but there are other methods such
as substituting and eliminating. They all give the same thing but you
didn’t state that there were other methods that can be used to find
points that satisfy the liner equation.
# Reply ' Titilayo Akinyele " Jan 27, 2020 In this week discussion i choose to talk about linear equation graph. When
we say linear it means straight. So linear graph means straight line graphed
and its illustrated by these equation y=ax+b. For example , the graph below
show the weekly profit of Mr Ayo.
x= number of week
y= profit made
He started his business with $600. A week later he made $800. The
equation can be written as (0,6) and (1,8). The rate of changes is $200 weekly. Which means My Ayo makes $200 as
a profit for that week.
y
8
6
4
2 x
-5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 The graph is linear because it maintains straight line.
Reference
Murray Bourne, (2018,March 06). Graph of linear functions. Retrieved from
# Reply ' Samantha Ortiz " Jan 27, 2020 Hi Titilayo,
I liked your example and how easily you explained all the different parts
of the problem and how clear you made it. Graphs and linear equations
are a little on the not so fun side for me but I appreciate this post and
how well you did, as it helped me understand a little better. Great job
# Reply ' " Prince Sekyi (Instructor)
Jan 28, 2020 Good job, Titilayo. great interpretation
# Reply ' Brittany DelGado " Jan 28, 2020 Hi Titilayo,
I would like to say that I found your example very interesting. You
included the word problem along with the example of the equation. I as
well did an example on linear equations. Also including the exact
amount of the equation with the graph helped to explain the word
problem you represented. Showing the number of weeks as x and the
profit made as y also incorporated to your response very well!
-Brittany
# Reply ' Brittany DelGado " Jan 28, 2020 Hi Titilayo,
I also spoke about linear equations in my assignment as well. I though
that it was the perfect example of showing how to graph equations like
linear problems as well. Showing x as the number of weeks and y as
the profile made was the perfect way of showing where x and y start.
The graph helped as well. I think overall you did a very good job.
# Reply ' Taurye Lugo " Jan 28, 2020 Hello Titilayo,
I enjoyed the explanation of your example, it could not be any more
clear. This example was also very simple and extremely easy for me to
understand. It is important to know that the line is infinite and the slope
will stay the same because the graph is linear. It is always important to
keep this in mind when graphing linear equations. Thank you for this
example and great job!
# Reply ' Adam Doyle " Jan 30, 2020 Hi Titilayo,
I really like that your graph had some real life implications, as opposed
to just points on a graph. For some reason, it is a lot easier for me to
imagine these points on a graph if they are only numbers, when they
are given a real life context, then it become more clear to comprehend.
So showing the profit earned per week became clear to me as it was
shown on the graph. Thanks for a great post! # Reply ' Deanna Washington " Jan 30, 2020 Titilayo, I love the example you used for your graph!! Especially
because it is a real life application, and helps us to understand that
graphs and algebra in general can be used for real life situations. I
know you wrote your slope formula as y= ax+b, and that is different to
me since I'm used to the y=mx+b formula. It still is the same thing, and I
appreciate you adding another form of the slope formula just in case
other people/classmates are used to the ax+b way.
# Reply ' Comfort Atogwe " Jan 31, 2020 Hi, Titi, i like your simple and easy explanation of your graph, i
have always found solving linear equation and graph difficult, but
your step by step explanation of your example has given me a
clearer understanding. Thanks Titi
# Reply ' Jagdeep Noori " Feb 1, 2020 Hi Titilayo,
I really liked your part in this discussion as it was a very organized and
thought-out post. I liked how you gave the real-life word example of
Mr.Ayo when he started his business, and how much of a profit he will
make. I was actually confused at first on how we can make a linear
equation into a real-life word problem. But after I read your post I
started to under a little bit more on how linear equations can be related
to real-life situations or growth in amounts for example. I will keep on
researching more about this topic so I can get more comfortable trying
to graph the points and linear equations in person without any help.
Thanks!
# Reply ' Joseph Aning " Feb 2, 2020 hello, I love how you used the linear equation to explain the finances of
a business. The rate of change in the finances of a business can
clearly be related to the slope of a liner equation. This just proves how
the linear equation can be used not just for graphing lines on a 2
dimensional graph but it’s applications extend so much more further
then that. It can be used to measure the rate of change in a vehicles
speed, or the rate of change of a bacterium, and many other areas of
change in the world. It extends not just from the field of mathematics,
but I’m sure into biology, physics, astronomy, etc. I will use this too in
my daily life to help me better save.
# Reply ' Samantha Ortiz " Jan 27, 2020 I chose a simple graph for my explanation to be able to explain the steps clearly. The two points that are given on this graph are (-1,0) and (0,1).
So we know that the x intercept is (-1,0) and the y intercept is (0,1).
The formula we would use to find our slope is
numbers plug in our =1 So after plugging in our numbers, the slope of this line above would be 1.
With this information we can now see that our graph is linear because the
slope remains and will remain the same.
# Reply ' Samantha Ortiz
Jan 27, 2020 Processing math: 100% forgot to cite my source. " ...

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