(Solved): Given that the derivative of the parabola \( f(x)=2 x^{2}+7 x+5 \) is \( f^{\prime}(x)=4 x+7 \). Fi ...

Given that the derivative of the parabola \( f(x)=2 x^{2}+7 x+5 \) is \( f^{\prime}(x)=4 x+7 \). Find the slope of the line tangent to the parabola at the point \( (2,27) \). The slope is: The equation of this tangent line can be written in the form \( y=m x+b \) where \( m \) is: and where \( b \) is: