SOLUTION: Could you guide me to solve and understand this? Find the value(s) or range of values of K for which the lin y=2x+k a) touches b) cuts in real points c)does not meet the curv

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Question 203981: Could you guide me to solve and understand this?
Find the value(s) or range of values of K for which the lin y=2x+k
a) touches
b) cuts in real points
c)does not meet
the curve 2x^2+y^2=4
p.s: I thought maybe it's easier if I draw the circle and decide for the domain of K but I couln't do any thing with the coefficient of x^2 and I also couln't find any note about drowing a circle like mine.
What is more could you guide me if there is any automatic drawer in this site to draw the graph of trigonimic equations or equations like this ?
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
A really great tool for this type of problem is geogebra. See this link
http://collabvsl.wetpaint.com/page/Mathematics+Applications

I bet that with that tool, you can do this one. let me know if you cant