Hello all! I just found this forum and registered. I would like some help with the following problem:

What is the function of the tangent to the parable $\displaystyle y=x^2$ , parallell with the line $\displaystyle y=6x$ ? I can see where the tangent is graphically and go from there, but how can you solve it solely by equating?

(feel free not to copy my terminology; I'm not good at English and may use some odd names)