Example 2.  Use the determinant method to find the line through the points  (3,1) and (3,4).

Solution 2.

The matrix  A  for the system of equations is:

 

[Graphics:../Images/ConicFitMod_gr_13.gif]

Enter the points (3,1) and (3,4) and put them into rows 2 and 3 of the matrix A:

[Graphics:../Images/ConicFitMod_gr_14.gif]


[Graphics:../Images/ConicFitMod_gr_15.gif]

Form the equation for the line by setting the determinant of  A  equal to zero.

[Graphics:../Images/ConicFitMod_gr_16.gif]
[Graphics:../Images/ConicFitMod_gr_17.gif]

Then graph the line.

[Graphics:../Images/ConicFitMod_gr_18.gif]


[Graphics:../Images/ConicFitMod_gr_19.gif]

[Graphics:../Images/ConicFitMod_gr_20.gif]

[Graphics:../Images/ConicFitMod_gr_21.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004