IB Math: show no line w/ y-int (0, 10) will ever be tangential to y=3x^2+7x-2

[Bumajdad]

show that no line with a y intercept of (0,10) will ever be tangential to the curve with the equation y=3x^2+7x-2

 

[Ishuda]

show that no line with a y intercept of (0,10) will ever be tangential to the curve with the equation y=3x^2+7x-2

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

As a hint what is the form of line L₁ with a y intercept of (0,10)? What is the form of the tangential line L₂ to line L₃: y = 3 x² + 7 x - 2? Can the point (0,10) be on line L₂?