tangents of function f(x)= 3x^2-5x+k at x = p is y= 7x-9; find k, p

[Chelseakhill]

Consider the function f(x)= 3x^2-5x+k
f'(x)= 6x-5
The equation of the tangent to the graph of f at x=p is y= 7x-9. Find the value of p and k.

 

[Deleted member 4993]

Consider the function f(x)= 3x^2-5x+k
f'(x)= 6x-5
The equation of the tangent to the graph of f at x=p is y= 7x-9. Find the value of p and k.

What is the relationship between the derivative of a function and the slope of tangent line?

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