Final answer:
To find the slope of the line tangent to the graph of f at point P, determine the endpoints of the tangent line and plug them into the equation to solve for the slope, a.
Step-by-step explanation:
The slope of a line tangent to the graph of a function at a point can be found using the formula mₜₐₙ = limₓ→ₐ f(x)-f(a)/x-a. To find the slope of the line tangent to the graph of f at point P, you need to determine the endpoints of the tangent line and then plug them into the equation to solve for the slope, a.
- Choose two points on the line, such as P and Q.
- Substitute the x and y values of the chosen points into the equation.
- Simplify the equation to find the slope, a.