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# For what values of $a$ and $b$ is the line $2x + y = b$ tangent to the parabola $y = ax^2$ when $x = 2?$

## $$a=-\frac{1}{2} \text { and } b=2$$

Derivatives

Differentiation

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### Video Transcript

Hey, we have her equation two x plus y equals B. This becomes why is equal to two x plus Be so we see this is our slope. Why is equal to a X square? And this the derivative becomes too, eh? So the derivative is the slope of detention line. So be negative too when X is equal to so we get a volume of negative 1/2. When we saw b, you just plug it in. We get B is equal to two.

Derivatives

Differentiation

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