Find the values of m for which the lines y=mx-2 are tangents to the curve with equation y=x^2-4x+2
Thanks in advance!
have you not solved a system of equations before?
$\displaystyle mx-2 = x^2-4x+2$
$\displaystyle m = 2x-4$
substitute $\displaystyle (2x-4)$ for $\displaystyle m$ in the first equation, solve for $\displaystyle x$, then determine the possible value(s) for $\displaystyle m$