# The midpoint M of JK has coordinates 4, 3. Point K has coordinates 1, 5. Find the coordinates of point J.

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### The Spaminator

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1. Debra use http://www.webmath.com/equline1.html
You want to find the equation for a line that passes through the two points:
(4,3) and (1,5).
put these into
http://www.webmath.com/equline1.html
and it will explain the maths involved
is
from http://www.webmath.com/equline1.html
y=-2/3x+17/3
midpoint M so x increased 3 from point k so at point JK would have to have x as 7
y=2/3*7+17/3
y=14/3+17/3
y=31/3
y=10.3
point J should be 7,10.333333333333333333333333334
or 7, 10 and 1/3
http://www.webmath.com/equline1.html

Posted on Nov 02, 2019

### 6ya staff

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Posted on Jan 02, 2017

### k24674

Two possibilities:

1. Graph is out of range (out of the window). If your data is positive set Xmin=0 and Ymin=0. Set Xmax a bit larger than the maximum x-value and YMAX a bit larger than the maximum y-value. You can also press [ZOOM] and select [9:ZoomStat].
2. To mark the points you may have select the dot and your calculator screen is too dim.
To help you setup your calculator To perform regression analysis I am inserting here a copy of a more detailed post of mine where I show the complete procedure applied to a quadratic regression.

Before doing statistics, you have to prepare the calculator by clearing old data that may generate errors.

A. TO CLEAR OLD DATA
1. Press [2nd][ ] (MEM) to open the memory management screen.
2. Press [4:ClrAllLists]
3. The command echoes on main screen, press [ENTER] to run it.
4. Calculator displays Done.
B. RUN the SETUP EDITOR Command
1. Press [STAT][5:SetUpEditor] [ENTER] ; calculator displays Done.
C. TURN DIAGNOSTICSON option (optional)

To obtain the correlation coefficient in a statistical analysis on the TI8xPlus family of calculators you must activate the DIAGNOSTICSON option. To access the command
1. You press [2nd]  (CATALOG)
2. While the list of commands is displayed, press [X^-1] (D)
3. Cursor jumps to first command that starts with D, dayOfWk(
4. Press the DownArrow 9 times to reach DIAGNOSTICSON
5. Select it and press [ENTER]
6. Command echoes on main calculator screen with blinking cursor
7. Press [ENTER] to set the option
8. Calculator displays Done.
From now on, if a correlation coefficient has meaning for a regression model, it will be calculated along with the other statistical results. If it has no meaning to the model it will not be calculated.

D. ENTER THE DATA
Press [STAT][1:Edit]
Type in your D (X ) values in L1 and the N (Y) values in L2 (see picture 1). Sorry the picture does not have YOUR values. TO OBTAIN statistical RESULTS (optional)
1. After you finish entering the data, press [2nd][Quit] to exit StatEditor.
2. Press [STAT] and highlight Menu (CALC)
3. In the list select [2:2-Var Stats]
4. Command echoes on main screen.
5. Press [ENTER] to calculate the stats
Here is what one gets with the data above. Notice the Down Arrow next to n=7. That means the results screen has more values. Press the Down Arrow to display. You notice that the n=7 line now has an arrow pointing Up. Notice the Down Arrow on the bottom line (more data is coming). Here is the rest of the statistical results. There is no arrow at the bottom of the picture. End of statistical results.
The screen captures with 2-Var Stats summarize all the statistics.

However there is no correlation coefficient, no line of best fit, etc. To obtain that you have To perform a regression analysis.

E. PERFORM A REGRESSION ANALYSIS
To perform a regression analysis, you must try several regression models and then find the one that mimics the raw data best. Select Regression model ( exponential, linear, sine, quadratic, etc.) Here I selected Exponential
1. Press [STAT] , highlight [CALC]
2. In the list of regression models select [0:ExpReg]
3. The command ExpReg echoes on main calculator screen.
4. If you press [ENTER], you'll get your equation but you will not be able to draw the curve on top of your data to verify the goodness (no it is not a swear word) of the fit. So you must save the equation as a function in Y1 variable.
5. While ExpReg command is still in command line, press the [VARS] key.
6. Highlight the [Y-VARS] menu and select [1:Function], then press [ENTER].
7. In the Y function variable list select [1:Y1]
8. At the command line, you have ExpReg Y1.
9. Press [ENTER] to save the equation of best fit in Y1. You also have r and its square.

Since the equation is saved in the Y1 function it can be superposed on the scatter plot. You just have to press GRAPH and it will be drawn. But that will not tell how good the fit is, until you see the function drawn on top of the raw data.

F. DRAWING THE SCATTER PLOT AND BEST FIT CURVE ON SAME SCREEN

Regardless of the curve of best fit, you can draw a scatter plot as follows.
1. Press [2nd][Y=] (STATPLOT)
2. Select [1:Plot1...Off] and press ENTER to open plot1 configuration screen
3. Use arrow to highlight On and press ENTER
4. Use the Down Arrow to move cursor to the line Type.
5. Select the first icon for a scatter plot. NOTE: To navigate the 6 statistical stat plots on the line Type, use the right or left arrow (to backtrack), but not the Up or down arrows.
Here is the configuration screen Here plot1 is active (ON), it is scatter plot (first icon) the XLIST is L1 by default but you can change it to some other list. Notice the highlighted A cursor on XLIST line. It means that the [ALPHA] keyboard is active.
On the line Mark you can choose the appearance of the raw data point.

And here are your two graphs: the raw data scatter plot and the line of best fit on the same screen. On the picture the ZoomStat option was used. The graph above represents a parabola and has nothing to do with the sample data entered. But it shows the raw data and the curve of best fit on the same screen.

Posted on Sep 05, 2010

### Douglas Hansen

See what code your computer has set. Get it scanned. It may be a temperature sensor issue.

Posted on Nov 20, 2010

### Matthew Smith

SOURCE: how to find slope with

Assuming your two point coordinates are of the form (x1, y1) and (x2, y2).
There are two possible methods:
You can use the slope formula which is commonly known as "rise over run." To do this: slope = (y2 - y1) / (x2 - x1) This means that the vertical distance covered by the two points divided by the horizontal distance covered by the two points is equal to the slope.
You can use your calculator's linear regression capabilities:
First step: Press the STAT button (next to the arrow keys toward the top right of your calculator).
Second: Select the first option, Edit...
Third: Under L1, enter your first x value, press enter, enter your second x value, press enter again.
Fourth: Under L2, enter your first y value, press enter, enter your second y value, press enter again.
Fifth: Press the STAT button again. Press the right arrow button to highlight CALC.
Sixth: Select the fourth option LinReg(ax+b).
Seventh: Press 2ND then 1 (L1 should show up on your screen). Then press the comma button (right above the number 7). Press 2ND then 2 (L2 should show up on your screen). Press ENTER.
Eighth: Once you press ENTER, several values will appear. The a value is the slope of the two coordinates.

Posted on Mar 03, 2011

### Jose Diaz

Use a piece of graph paper. Easy.

Posted on Nov 20, 2012

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