Intersection coordinates are my points right?

AI Thread Summary
The discussion centers on verifying the intersection points of the equations \((x-3)^2/9 + (y+2)^2/4 = 1\) and \(y = 2x - 3\). The user calculated the intersection points as (1.33, -0.34) and (0.169, -2.66), confirming their accuracy by substituting them back into the original equation. Assistance was sought for graphing the first equation in \(y=\) form, but responses indicated that the calculations were sufficient and graphing was unnecessary. Suggestions included using graphing software capable of plotting implicit equations. Ultimately, the user was reassured that their intersection points were correct and no further action was needed.
aisha
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Hi can someone please check that my points of intersection are correct?

The question was determine the coordinate of the intersection point of

\frac {(x-3)^2} {9} + \frac {y+2)^2} {4} =1 and y=2x-3

I after putting the second equation into the first and then expanding and solving for x and y I got my two intersection points to be

(1.33,-0.34) and (0.169,-2.66) These values work well when plugged into the equation both coordinates equal 36 from the first equation when denominators are eliminated.

I wanted to check this with the graphing calculator but was having a hard time putting the first equation into y= form. Can someone help me out a little please :rolleyes:
 
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With what?If you got those points (which was what the problem asked),then you're done with it.

Can't your software plot implicit equations?My Maple can.

Daniel.
 
you did it right no need to graph it'd be a waste of time. If you really wanted to you can graph this in a calculator(i'm assuming you have TIsomething), you need to put one of the equations in two pieces one positive square root and the other negative.
 

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