Line Tangent to a Curve at a Point.
PART 1.
Using the definition of derivative of a function at a point, $f'(a) = \lim_{h\to 0} \frac{f(a+h) - f(a)}{h}$, find the slope of the tangent to the curve at the given point.
$f(x) = \sqrt{x-10}; a = 25$
The slope of the tangent to the curve at $a = 25$ is
Note: Enter a numerical value for the slope.
PART 2.
The equation of the line tangent to the curve at $a = 25$ is
Note: Type answer in form $y = mx + b$.