Determine the equations of lines with slope 2 and that intersect the quadratic function f(x)=x(6-x)?

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- Mar 18th 2009, 03:50 PMmathhelp92parabolas and line intersection
Determine the equations of lines with slope 2 and that intersect the quadratic function f(x)=x(6-x)?

- Mar 18th 2009, 04:18 PMskeeter
- Mar 18th 2009, 04:28 PMmathhelp92
- Mar 18th 2009, 04:32 PMProve It
- Mar 18th 2009, 04:45 PMmathhelp92

So if k > 4, so then in the equation y=mx+b it will be y=2x+4..I THINK

so thats 2 roots

so how do we solve for only one root or no roots

because if we make both equations equal to each other, we will get 4 every time :s this is where i am confused

WHAT WE ARE TRYING TO SOLVE FOR IS THE VALUE OF B IN y=mx+b for 3 equations soo 3 different values of b - Mar 18th 2009, 05:31 PMProve It
I've already told you the answer.

If there aren't any intersection points then the value of is ANYTHING LESS THAN 4. So use a letter like and say that .

If there is only one intersection point then the value of IS 4.

If there are two intersection points then the value of is ANYTHING GREATER THAN 4. So use a letter like and say that .