what is the equation of a line tangent to y=x^2?

Question

anonymous · Answer

depends on the point 
the equation will be different for different points on the curve

anonymous · Answer

for example, at $(3,9)$ it will be 
$$y-9=6(x-3)$$

anonymous · Answer

oh i the problem was asking for what k equals in the equation y=kx to have 1 solution the the equation y=x^2. i interpreted it, probably wrongly, as it asking for a tangent line

anonymous · Answer

i don't understand the problem
what is $k$ so that the equation of $y=kx$ will be TANGENT

anonymous · Answer

we are given the graph of y=x^2. we have to find an equation of a line in the form y=x+k so that there i 1 solution to this system of equations. what value is k when there is 1 solution the the system?

anonymous · Answer

It is a tangent line. And if you KNOW it is y=x+k then you have the slope. 1. So find the derivative: D(x^2)=2x=1 implies x=1/2. So now you have (1/2,1/4) as your point and 1/2 as your slope. y-y_0=m(x-x_0) you're done.