Finite Math > Lines > Formulas

Point Slope | Standard Form | Two Point | Parallel Perpendicular

Instructions

Shown on this page are youtube videos using a digital pen on virtual paper assisted by a HP Prime calculator emulator. The content found here extends the content found in our eBook or print copy of HP Prime Guide Algebra Fundamentals.

Click on play and the full screen option in the Embedded youtube video or click on the direct link to go directly to the youtube site to play the video.

Embedded youtube video displays a dialog window when we hit pause. Do not hit the “X’ to close the dialog window, just press the play icon or space bar to resume play as it closes the dialog window and resumes play.

Remark: Onenote Ink math assistant requires a 365 subscription. There is the personal 365 subscription,  academic 365 subscription with Class Notebooks for administrators, teachers, and students plus organizational versions of 365 subscriptions that include Onenote Ink math assistant. The videos were made using the academic 365 subscription. You will need a 365 subscription to duplicate the Onenote Ink math assistant parts, however there are free versions of Onenote for all platforms that include Ink but not the Ink math assistant. There is an Online Onenote broswer version available with the Onenote Ink math assistant for some subscription packages.


Point Slope

The following video describes how to add the slope, equation of a line given a point and the slope, and equation of a line given two points to our HP Prime. Go to 0:58 if you have functions already installed.

The video solve a specific point - slope example and then use h, k, and m to give a generalized form of the traditional point - slope formula. We then explore using the Math features of Onenote for windows 10.

Embedded YouTube video file or direct link


 

HP Prime - Onenote Math - Point Slope Equation or direct link

If you have access to Microsoft Onenote Digital Assistant use it to further explore the h, k, and m values. Add your own point slope formula to a Onenote page using h, k, and m. Notice that positive m values increase and negative m values decrease. Larger absolute value m values tend to be more vertical where absolute values less than 1 are flatter. To better see these effects keep h and k values the same.

We could use the HP Prime Explorer app as well. Set the Explorer app to linear and explore with expressions such as 3x, -3x, 1/3x, and -1/3x.  To use intercepts directly in the HP Prime we could add linexy(x,y):=linept1pt2(x,0,0,y) assuming the linept1pt2, lineptm, and slopeln functions have previously been added. Copy and paste linexy from here or type it in the CAS View command line.


Standard Form

The following video describes how to graph relations on the HP Prime calculator and Onenote with Office 365 subscription. It concludes with showing how to change standard form of a line to point slope using Onenote Ink math assistant.

Embedded YouTube video file or direct link


 

HP Prime  Onenote Equation of a Line or direct link

Three things to note. We forgot to press [enter] when filling in the [m] component of of y=mx+b. Thus the correct graph was never displayed. The second thing is we could of used the HP Prime CAS solve command. Solve(a*x+b*y+c=0,y).  To try this use the toolbox key and solve CAS submenu fly out. The thiird thing is that we used the Advanced Graphing rather than Function from the HP Prime’s Application Library.  This was done since x=5 is not a function and Function app can not graph it.

If you have access to Microsoft Onenote Ink math assistant add a notebook with x=c and y=mx+b to use to explore  c, m, and b values .


Two Point

The following video describes how to come up with the equation of a line given two points and plot the graph of it using the HP Prime calculator. It shows how Onenote can sketch the graph. Go to 1:18 if you have functions already installed.

Embedded YouTube video file or direct link


 

HP Prime  Onenote Using Equations of Lines or direct link

The HP Prime complements Onenote by allowing us to add functions that are not part of Onenote or even in the current HP Prime firmware.

If you have access to Microsoft Onenote Ink math assistant use it to further graph other sets of two points using the a, b, c, and d values.


Parallel Perpendicular

The following video describes how to find and graph perpendicular lines using HP Prime and Onenote. The same technique can be used for parallel lines. Go to 1:18 if you have functions already installed.

Embedded YouTube video file or direct link


 

HP Prime  Onenote Parallel and Perpendicular Lines or direct link

Here again, the HP Prime complements Onenote by allowing us to add functions that are not part of Onenote or the original HP Prime firmware. We added CAS Vars function, linemb(y,m,x,b):=solve(y=m*x+b,z). You copy and paste from here instead of typing it in the command line. The HP Prime linemb function was the same technique that the Onenote’s math assistant used. The earlier technique of adding the HP Prime function lineptm seemed better.

If you have access to Microsoft Onenote Ink math assistant use it to practice using the Math assistant. The video shows that the Onenote math assistant works with type content as well.  The last use of the math assistant is solving two equations graphically by using substitution.


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