SOLUTION: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1

SOLUTION: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1

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Question 315279: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The slope of the tangent of the parabola is equal to the value of the derivative.

So at the point , the slope of the tangent line equals -2.
At that point,

So then

and the equation of the tangent line is,

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